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252270522 = 232722291249
BaseRepresentation
bin11110000100101…
…01011110111010
3122120200200002200
433002111132322
51004040124042
641011011030
76152156400
oct1702253672
9576620080
10252270522
1111a444639
1270599a76
1340358cca
142570b470
1517231c4c
hexf0957ba

252270522 has 72 divisors (see below), whose sum is σ = 639112500. Its totient is φ = 71705088.

The previous prime is 252270521. The next prime is 252270527. The reversal of 252270522 is 225072252.

It can be written as a sum of positive squares in 2 ways, for example, as 240839361 + 11431161 = 15519^2 + 3381^2 .

It is not an unprimeable number, because it can be changed into a prime (252270521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201354 + ... + 202602.

Almost surely, 2252270522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252270522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319556250).

252270522 is an abundant number, since it is smaller than the sum of its proper divisors (386841978).

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

252270522 is a wasteful number, since it uses less digits than its factorization.

252270522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 252270522 is about 15883.0262229841. The cubic root of 252270522 is about 631.8618993371.

The spelling of 252270522 in words is "two hundred fifty-two million, two hundred seventy thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 229 294 441 458 687 882 1249 1374 1603 2061 2498 3206 3747 4122 4809 7494 8743 9618 11221 11241 14427 17486 22442 22482 26229 28854 33663 52458 61201 67326 78687 100989 122402 157374 183603 201978 286021 367206 550809 572042 858063 1101618 1716126 2002147 2574189 4004294 5148378 6006441 12012882 14015029 18019323 28030058 36038646 42045087 84090174 126135261 252270522