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203252472 = 233223139883
BaseRepresentation
bin11000001110101…
…10001011111000
3112011110021222100
430013112023320
5404013034342
632100223400
75015421543
oct1407261370
9464407870
10203252472
11a4804655
125809ab60
1333155847
141cdcb85a
1512c9ce4c
hexc1d62f8

203252472 has 96 divisors (see below), whose sum is σ = 579196800. Its totient is φ = 64266048.

The previous prime is 203252453. The next prime is 203252537. The reversal of 203252472 is 274252302.

203252472 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 2×2032524722 = 82623134748221568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229743 + ... + 230625.

It is an arithmetic number, because the mean of its divisors is an integer number (6033300).

Almost surely, 2203252472 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 203252472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289598400).

203252472 is an abundant number, since it is smaller than the sum of its proper divisors (375944328).

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

203252472 is a wasteful number, since it uses less digits than its factorization.

203252472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 203252472 is about 14256.6641259448. The cubic root of 203252472 is about 587.9566120977.

The spelling of 203252472 in words is "two hundred three million, two hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 139 184 207 276 278 414 417 552 556 828 834 883 1112 1251 1656 1668 1766 2502 2649 3197 3336 3532 5004 5298 6394 7064 7947 9591 10008 10596 12788 15894 19182 20309 21192 25576 28773 31788 38364 40618 57546 60927 63576 76728 81236 115092 121854 122737 162472 182781 230184 243708 245474 365562 368211 487416 490948 731124 736422 981896 1104633 1462248 1472844 2209266 2822951 2945688 4418532 5645902 8468853 8837064 11291804 16937706 22583608 25406559 33875412 50813118 67750824 101626236 203252472