Search a number
-
+
33341221120 = 285293892309
BaseRepresentation
bin11111000011010010…
…101010100100000000
310012001121101112002111
4133003102222210000
51021240323033440
623152230025104
72260140463204
oct370322524400
9105047345074
1033341221120
111315a2829a9
126565aa8194
1331b467aa0c
1418840b4b04
15d021204ea
hex7c34aa900

33341221120 has 144 divisors (see below), whose sum is σ = 82864782000. Its totient is φ = 12837945344.

The previous prime is 33341221093. The next prime is 33341221163. The reversal of 33341221120 is 2112214333.

It can be written as a sum of positive squares in 8 ways, for example, as 7225344 + 33333995776 = 2688^2 + 182576^2 .

It is a super-2 number, since 2×333412211202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33341221091 and 33341221100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14438526 + ... + 14440834.

It is an arithmetic number, because the mean of its divisors is an integer number (575449875).

Almost surely, 233341221120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33341221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41432391000).

33341221120 is an abundant number, since it is smaller than the sum of its proper divisors (49523560880).

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

33341221120 is a wasteful number, since it uses less digits than its factorization.

33341221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 33341221120 its reverse (2112214333), we get a palindrome (35453435453).

The spelling of 33341221120 in words is "thirty-three billion, three hundred forty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 389 464 580 640 778 928 1160 1280 1556 1856 1945 2309 2320 3112 3712 3890 4618 4640 6224 7424 7780 9236 9280 11281 11545 12448 15560 18472 18560 22562 23090 24896 31120 36944 37120 45124 46180 49792 56405 62240 66961 73888 90248 92360 99584 112810 124480 133922 147776 180496 184720 225620 248960 267844 295552 334805 360992 369440 451240 497920 535688 591104 669610 721984 738880 898201 902480 1071376 1339220 1443968 1477760 1796402 1804960 2142752 2678440 2887936 2955520 3592804 3609920 4285504 4491005 5356880 7185608 7219840 8571008 8982010 10713760 14371216 14439680 17142016 17964020 21427520 26047829 28742432 35928040 42855040 52095658 57484864 71856080 85710080 104191316 114969728 130239145 143712160 208382632 229939456 260478290 287424320 416765264 520956580 574848640 833530528 1041913160 1149697280 1667061056 2083826320 3334122112 4167652640 6668244224 8335305280 16670610560 33341221120