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202397052 = 2231113791493
BaseRepresentation
bin11000001000001…
…01010101111100
3112002211211120010
430010011111330
5403303201202
632030023220
75005226604
oct1404052574
9462754503
10202397052
11a427a9a0
1257947b10
1332c16390
141cc47c04
1512b7e76c
hexc10557c

202397052 has 96 divisors (see below), whose sum is σ = 562222080. Its totient is φ = 55860480.

The previous prime is 202397051. The next prime is 202397093. The reversal of 202397052 is 250793202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202397051) 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, 134818 + ... + 136310.

It is an arithmetic number, because the mean of its divisors is an integer number (5856480).

Almost surely, 2202397052 is an apocalyptic number.

202397052 is a gapful number since it is divisible by the number (22) 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 202397052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281111040).

202397052 is an abundant number, since it is smaller than the sum of its proper divisors (359825028).

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

202397052 is a wasteful number, since it uses less digits than its factorization.

202397052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 202397052 is about 14226.6317868988. The cubic root of 202397052 is about 587.1306162714.

The spelling of 202397052 in words is "two hundred two million, three hundred ninety-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 79 132 143 156 158 237 286 316 429 474 572 858 869 948 1027 1493 1716 1738 2054 2607 2986 3081 3476 4108 4479 5214 5972 6162 8958 10428 11297 12324 16423 17916 19409 22594 32846 33891 38818 45188 49269 58227 65692 67782 77636 98538 116454 117947 135564 197076 213499 232908 235894 353841 426998 471788 640497 707682 853996 1280994 1297417 1415364 1533311 2561988 2594834 3066622 3892251 4599933 5189668 6133244 7784502 9199866 15569004 16866421 18399732 33732842 50599263 67465684 101198526 202397052