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252274020 = 2235193613
BaseRepresentation
bin11110000100101…
…10010101100100
3122120200211220020
433002112111210
51004040232040
641011035140
76152202525
oct1702262544
9576624806
10252274020
1111a447229
127059bab0
134035a78b
142570c84c
1517232cd0
hexf096564

252274020 has 96 divisors (see below), whose sum is σ = 746820480. Its totient is φ = 63628416.

The previous prime is 252274013. The next prime is 252274049. The reversal of 252274020 is 20472252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411234 + ... + 411846.

It is an arithmetic number, because the mean of its divisors is an integer number (7779380).

Almost surely, 2252274020 is an apocalyptic number.

252274020 is a gapful number since it is divisible by the number (20) 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 252274020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373410240).

252274020 is an abundant number, since it is smaller than the sum of its proper divisors (494546460).

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

252274020 is a wasteful number, since it uses less digits than its factorization.

252274020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 252274020 is about 15883.1363401565. The cubic root of 252274020 is about 631.8648198035.

The spelling of 252274020 in words is "two hundred fifty-two million, two hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 613 722 1083 1140 1226 1444 1805 1839 2166 2452 3065 3610 3678 4332 5415 6130 6859 7220 7356 9195 10830 11647 12260 13718 18390 20577 21660 23294 27436 34295 34941 36780 41154 46588 58235 68590 69882 82308 102885 116470 137180 139764 174705 205770 221293 232940 349410 411540 442586 663879 698820 885172 1106465 1327758 2212930 2655516 3319395 4204567 4425860 6638790 8409134 12613701 13277580 16818268 21022835 25227402 42045670 50454804 63068505 84091340 126137010 252274020