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252218428 = 227112113881
BaseRepresentation
bin11110000100010…
…00110000111100
3122120121000122021
433002020300330
51004031442203
641005525524
76151551460
oct1702106074
9576530567
10252218428
1111a409490
12705738a4
134033b397
14256d64a0
15172215bd
hexf088c3c

252218428 has 48 divisors (see below), whose sum is σ = 553045248. Its totient is φ = 97776000.

The previous prime is 252218401. The next prime is 252218453. The reversal of 252218428 is 824812252.

It is a super-2 number, since 2×2522184282 = 127228270845582368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252218393 and 252218402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63048 + ... + 66928.

It is an arithmetic number, because the mean of its divisors is an integer number (11521776).

Almost surely, 2252218428 is an apocalyptic number.

252218428 is a gapful number since it is divisible by the number (28) 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 252218428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276522624).

252218428 is an abundant number, since it is smaller than the sum of its proper divisors (300826820).

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

252218428 is a wasteful number, since it uses less digits than its factorization.

252218428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4112 counting only the distinct ones).

The product of its digits is 20480, while the sum is 34.

The square root of 252218428 is about 15881.3862115371. The cubic root of 252218428 is about 631.8184030677.

The spelling of 252218428 in words is "two hundred fifty-two million, two hundred eighteen thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 211 308 422 844 1477 2321 2954 3881 4642 5908 7762 9284 15524 16247 27167 32494 42691 54334 64988 85382 108668 170764 298837 597674 818891 1195348 1637782 3275564 5732237 9007801 11464474 18015602 22928948 36031204 63054607 126109214 252218428