Search a number
-
+
3332231232 = 2631114910589
BaseRepresentation
bin1100011010011101…
…1101000001000000
322121020011212220120
43012213131001000
523311022344412
61310353140240
7145401332601
oct30647350100
98536155816
103332231232
11145aa59710
1278bb5a680
13411488a75
142387a9da8
1514781cb8c
hexc69dd040

3332231232 has 112 divisors (see below), whose sum is σ = 9683496000. Its totient is φ = 1002895360.

The previous prime is 3332231213. The next prime is 3332231233. The reversal of 3332231232 is 2321322333.

It is a super-2 number, since 2×33322312322 = 22207529967032475648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3332231233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309394 + ... + 319982.

Almost surely, 23332231232 is an apocalyptic number.

3332231232 is a gapful number since it is divisible by the number (32) 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 3332231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841748000).

3332231232 is an abundant number, since it is smaller than the sum of its proper divisors (6351264768).

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

3332231232 is a wasteful number, since it uses less digits than its factorization.

3332231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764 (or 10754 counting only the distinct ones).

The product of its digits is 3888, while the sum is 24.

The square root of 3332231232 is about 57725.4816523864. The cubic root of 3332231232 is about 1493.6369319667.

Adding to 3332231232 its reverse (2321322333), we get a palindrome (5653553565).

The spelling of 3332231232 in words is "three billion, three hundred thirty-two million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 149 176 192 264 298 352 447 528 596 704 894 1056 1192 1639 1788 2112 2384 3278 3576 4768 4917 6556 7152 9536 9834 10589 13112 14304 19668 21178 26224 28608 31767 39336 42356 52448 63534 78672 84712 104896 116479 127068 157344 169424 232958 254136 314688 338848 349437 465916 508272 677696 698874 931832 1016544 1397748 1577761 1863664 2033088 2795496 3155522 3727328 4733283 5590992 6311044 7454656 9466566 11181984 12622088 17355371 18933132 22363968 25244176 34710742 37866264 50488352 52066113 69421484 75732528 100976704 104132226 138842968 151465056 208264452 277685936 302930112 416528904 555371872 833057808 1110743744 1666115616 3332231232