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252217296 = 24327922171
BaseRepresentation
bin11110000100010…
…00011111010000
3122120120222002100
433002020133100
51004031423141
641005520400
76151545252
oct1702103720
9576528070
10252217296
1111a408651
1270573100
134033aa06
14256d5cd2
15172210b6
hexf0887d0

252217296 has 60 divisors (see below), whose sum is σ = 714825280. Its totient is φ = 83004480.

The previous prime is 252217289. The next prime is 252217309. The reversal of 252217296 is 692712252.

It is a happy number.

It is a super-3 number, since 3×2522172963 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 252217296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291 + ... + 22461.

Almost surely, 2252217296 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 252217296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357412640).

252217296 is an abundant number, since it is smaller than the sum of its proper divisors (462607984).

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

252217296 is a wasteful number, since it uses less digits than its factorization.

252217296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22264 (or 22255 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 252217296 is about 15881.3505722908. The cubic root of 252217296 is about 631.8174578295.

The spelling of 252217296 in words is "two hundred fifty-two million, two hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376 22171 44342 66513 88684 133026 177368 199539 266052 354736 399078 532104 798156 1064208 1596312 1751509 3192624 3503018 5254527 7006036 10509054 14012072 15763581 21018108 28024144 31527162 42036216 63054324 84072432 126108648 252217296