Search a number
-
+
235305104200 = 235216718138923
BaseRepresentation
bin1101101100100101000…
…1101111001101001000
3211111100211001210201021
43123021101233031020
512323401101313300
6300033033002224
723000036245645
oct3331121571510
9744324053637
10235305104200
1190879662571
123972b253374
131925c809c8a
14b562d2cdcc
1561c2bc0d1a
hex36c946f348

235305104200 has 96 divisors (see below), whose sum is σ = 553415204160. Its totient is φ = 93039148800.

The previous prime is 235305104179. The next prime is 235305104269. The reversal of 235305104200 is 2401503532.

235305104200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6025939 + ... + 6064861.

It is an arithmetic number, because the mean of its divisors is an integer number (5764741710).

Almost surely, 2235305104200 is an apocalyptic number.

235305104200 is a gapful number since it is divisible by the number (20) 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 235305104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276707602080).

235305104200 is an abundant number, since it is smaller than the sum of its proper divisors (318110099960).

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

235305104200 is a wasteful number, since it uses less digits than its factorization.

235305104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39287 (or 39278 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 235305104200 its reverse (2401503532), we get a palindrome (237706607732).

The spelling of 235305104200 in words is "two hundred thirty-five billion, three hundred five million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 181 200 334 362 668 724 835 905 1336 1448 1670 1810 3340 3620 4175 4525 6680 7240 8350 9050 16700 18100 30227 33400 36200 38923 60454 77846 120908 151135 155692 194615 241816 302270 311384 389230 604540 755675 778460 973075 1209080 1511350 1556920 1946150 3022700 3892300 6045400 6500141 7045063 7784600 13000282 14090126 26000564 28180252 32500705 35225315 52001128 56360504 65001410 70450630 130002820 140901260 162503525 176126575 260005640 281802520 325007050 352253150 650014100 704506300 1176525521 1300028200 1409012600 2353051042 4706102084 5882627605 9412204168 11765255210 23530510420 29413138025 47061020840 58826276050 117652552100 235305104200