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253238022 = 23373227283
BaseRepresentation
bin11110001100000…
…01101100000110
3122122111211021000
433012001230012
51004312104042
641043434130
76163326162
oct1706015406
9578454230
10253238022
1111aa45524
1270985946
13406074ab
14258bdca2
151737374c
hexf181b06

253238022 has 64 divisors (see below), whose sum is σ = 574997760. Its totient is φ = 82596672.

The previous prime is 253237991. The next prime is 253238057. The reversal of 253238022 is 220832352.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894693 + ... + 894975.

It is an arithmetic number, because the mean of its divisors is an integer number (8984340).

Almost surely, 2253238022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253238022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287498880).

253238022 is an abundant number, since it is smaller than the sum of its proper divisors (321759738).

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

253238022 is a wasteful number, since it uses less digits than its factorization.

253238022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 253238022 is about 15913.4541190780. The cubic root of 253238022 is about 632.6686345440.

The spelling of 253238022 in words is "two hundred fifty-three million, two hundred thirty-eight thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 227 283 438 454 566 657 681 849 1314 1362 1698 1971 2043 2547 3942 4086 5094 6129 7641 12258 15282 16571 20659 33142 41318 49713 61977 64241 99426 123954 128482 149139 185931 192723 298278 371862 385446 447417 557793 578169 894834 1115586 1156338 1734507 3469014 4689593 9379186 14068779 28137558 42206337 84412674 126619011 253238022