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252217032 = 233171933203
BaseRepresentation
bin11110000100010…
…00011011001000
3122120120221201120
433002020123020
51004031421112
641005515240
76151544424
oct1702103310
9576527646
10252217032
1111a408431
1270572b20
134033a862
14256d5b84
1517220e8c
hexf0886c8

252217032 has 64 divisors (see below), whose sum is σ = 671302080. Its totient is φ = 78692352.

The previous prime is 252217019. The next prime is 252217033. The reversal of 252217032 is 230712252.

It is a happy number.

It is a super-2 number, since 2×2522170322 = 127226862461778048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 252216993 and 252217011.

It is not an unprimeable number, because it can be changed into a prime (252217033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77143 + ... + 80345.

It is an arithmetic number, because the mean of its divisors is an integer number (10489095).

Almost surely, 2252217032 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 252217032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335651040).

252217032 is an abundant number, since it is smaller than the sum of its proper divisors (419085048).

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

252217032 is a wasteful number, since it uses less digits than its factorization.

252217032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 252217032 is about 15881.3422606529. The cubic root of 252217032 is about 631.8172373848.

Adding to 252217032 its reverse (230712252), we get a palindrome (482929284).

The spelling of 252217032 in words is "two hundred fifty-two million, two hundred seventeen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 193 204 386 408 579 772 1158 1544 2316 3203 3281 4632 6406 6562 9609 9843 12812 13124 19218 19686 25624 26248 38436 39372 54451 76872 78744 108902 163353 217804 326706 435608 618179 653412 1236358 1306824 1854537 2472716 3709074 4945432 7418148 10509043 14836296 21018086 31527129 42036172 63054258 84072344 126108516 252217032