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133310232 = 233311192953
BaseRepresentation
bin1111111001000…
…10011100011000
3100021211212021000
413330202130120
5233111411412
621121145000
73206055366
oct774423430
9307755230
10133310232
1169282a50
123878b160
13218073c3
14139c2636
15ba844dc
hex7f22718

133310232 has 128 divisors (see below), whose sum is σ = 425376000. Its totient is φ = 38257920.

The previous prime is 133310183. The next prime is 133310237. The reversal of 133310232 is 232013331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133310237) 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, 43668 + ... + 46620.

It is an arithmetic number, because the mean of its divisors is an integer number (3323250).

Almost surely, 2133310232 is an apocalyptic number.

133310232 is a gapful number since it is divisible by the number (12) 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 133310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212688000).

133310232 is an abundant number, since it is smaller than the sum of its proper divisors (292065768).

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

133310232 is a wasteful number, since it uses less digits than its factorization.

133310232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133310232 is about 11546.0050233836. The cubic root of 133310232 is about 510.8434486088.

Adding to 133310232 its reverse (232013331), we get a palindrome (365323563).

The spelling of 133310232 in words is "one hundred thirty-three million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1254 1368 1672 1881 2052 2376 2508 2953 3762 4104 5016 5643 5906 7524 8859 11286 11812 15048 17718 22572 23624 26577 32483 35436 45144 53154 56107 64966 70872 79731 97449 106308 112214 129932 159462 168321 194898 212616 224428 259864 292347 318924 336642 389796 448856 504963 584694 617177 637848 673284 779592 877041 1009926 1169388 1234354 1346568 1514889 1754082 1851531 2019852 2338776 2468708 3029778 3508164 3703062 4039704 4937416 5554593 6059556 7016328 7406124 11109186 12119112 14812248 16663779 22218372 33327558 44436744 66655116 133310232