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235525104 = 24333143409
BaseRepresentation
bin11100000100111…
…01001111110000
3121102011220201000
432002131033300
5440243300404
635212042000
75556634053
oct1602351760
9542156630
10235525104
11110a47551
1266a63300
1339a45089
14233cca9a
1515a25339
hexe09d3f0

235525104 has 160 divisors (see below), whose sum is σ = 715827200. Its totient is φ = 74027520.

The previous prime is 235525049. The next prime is 235525111. The reversal of 235525104 is 401525532.

It is a happy number.

235525104 is a `hidden beast` number, since 2 + 3 + 552 + 5 + 104 = 666.

235525104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2355251042 = 110944149228421632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575652 + ... + 576060.

It is an arithmetic number, because the mean of its divisors is an integer number (4473920).

Almost surely, 2235525104 is an apocalyptic number.

235525104 is a gapful number since it is divisible by the number (24) 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 235525104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357913600).

235525104 is an abundant number, since it is smaller than the sum of its proper divisors (480302096).

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

235525104 is a wasteful number, since it uses less digits than its factorization.

235525104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 235525104 is about 15346.8271639450. The cubic root of 235525104 is about 617.5598713714.

The spelling of 235525104 in words is "two hundred thirty-five million, five hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 43 48 54 62 72 86 93 108 124 129 144 172 186 216 248 258 279 344 372 387 409 432 496 516 558 688 744 774 818 837 1032 1116 1161 1227 1333 1488 1548 1636 1674 2064 2232 2322 2454 2666 3096 3272 3348 3681 3999 4464 4644 4908 5332 6192 6544 6696 7362 7998 9288 9816 10664 11043 11997 12679 13392 14724 15996 17587 18576 19632 21328 22086 23994 25358 29448 31992 35174 35991 38037 44172 47988 50716 52761 58896 63984 70348 71982 76074 88344 95976 101432 105522 114111 140696 143964 152148 158283 176688 191952 202864 211044 228222 281392 287928 304296 316566 342333 422088 456444 474849 545197 575856 608592 633132 684666 844176 912888 949698 1090394 1266264 1369332 1635591 1825776 1899396 2180788 2532528 2738664 3271182 3798792 4361576 4906773 5477328 6542364 7597584 8723152 9813546 13084728 14720319 19627092 26169456 29440638 39254184 58881276 78508368 117762552 235525104