Search a number
-
+
33230430204240 = 24351814337176383
BaseRepresentation
bin1111000111001000011111…
…11111001111000101010000
311100122210112211001021002010
413203210033333033011100
513323421410113013430
6154401503205422520
76666551016150033
oct743441777170520
9140583484037063
1033230430204240
11a651a45597855
123888343a0aa40
13157080180b919
1482c50b99701a
153c95ee248cb0
hex1e390ffcf150

33230430204240 has 160 divisors (see below), whose sum is σ = 103607944667136. Its totient is φ = 8810407895040.

The previous prime is 33230430204203. The next prime is 33230430204247. The reversal of 33230430204240 is 4240203403233.

It is a super-2 number, since 2×332304302042402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33230430204198 and 33230430204207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33230430204247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188311089 + ... + 188487471.

Almost surely, 233230430204240 is an apocalyptic number.

33230430204240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33230430204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51803972333568).

33230430204240 is an abundant number, since it is smaller than the sum of its proper divisors (70377514462896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33230430204240 is a wasteful number, since it uses less digits than its factorization.

33230430204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180917 (or 180911 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 33230430204240 its reverse (4240203403233), we get a palindrome (37470633607473).

The spelling of 33230430204240 in words is "thirty-three trillion, two hundred thirty billion, four hundred thirty million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 2172 2715 2896 3620 4337 4344 5430 7240 8674 8688 10860 13011 14480 17348 21685 21720 26022 34696 43370 43440 52044 65055 69392 86740 104088 130110 173480 176383 208176 260220 346960 352766 520440 529149 705532 784997 881915 1040880 1058298 1411064 1569994 1763830 2116596 2354991 2645745 2822128 3139988 3527660 3924985 4233192 4709982 5291490 6279976 7055320 7849970 8466384 9419964 10582980 11774955 12559952 14110640 15699940 18839928 21165960 23549910 31399880 31925323 37679856 42331920 47099820 62799760 63850646 94199640 95775969 127701292 159626615 188399280 191551938 255402584 319253230 383103876 478879845 510805168 638506460 764973071 766207752 957759690 1277012920 1529946142 1532415504 1915519380 2294919213 2554025840 3059892284 3824865355 3831038760 4589838426 6119784568 7649730710 7662077520 9179676852 11474596065 12239569136 15299461420 18359353704 22949192130 30598922840 36718707408 45898384260 61197845680 91796768520 138460125851 183593537040 276920251702 415380377553 553840503404 692300629255 830760755106 1107681006808 1384601258510 1661521510212 2076901887765 2215362013616 2769202517020 3323043020424 4153803775530 5538405034040 6646086040848 8307607551060 11076810068080 16615215102120 33230430204240