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230279448 = 233743127251
BaseRepresentation
bin11011011100111…
…00100100011000
3121001022102000110
431232130210120
5432422420243
634503404320
75464225440
oct1556344430
9531272013
10230279448
11108a943a3
12651536a0
1338929539
1422825120
151533ae33
hexdb9c918

230279448 has 128 divisors (see below), whose sum is σ = 681246720. Its totient is φ = 63504000.

The previous prime is 230279437. The next prime is 230279503. The reversal of 230279448 is 844972032.

230279448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 917323 + ... + 917573.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2230279448 is an apocalyptic number.

230279448 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 230279448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340623360).

230279448 is an abundant number, since it is smaller than the sum of its proper divisors (450967272).

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

230279448 is a wasteful number, since it uses less digits than its factorization.

230279448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 230279448 is about 15174.9612190608. The cubic root of 230279448 is about 612.9406058091.

The spelling of 230279448 in words is "two hundred thirty million, two hundred seventy-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 127 129 168 172 251 254 258 301 344 381 502 508 516 602 753 762 889 903 1004 1016 1032 1204 1506 1524 1757 1778 1806 2008 2408 2667 3012 3048 3514 3556 3612 5271 5334 5461 6024 7028 7112 7224 10542 10668 10793 10922 14056 16383 21084 21336 21586 21844 31877 32379 32766 38227 42168 43172 43688 63754 64758 65532 75551 76454 86344 95631 114681 127508 129516 131064 151102 152908 191262 223139 226653 229362 255016 259032 302204 305816 382524 446278 453306 458724 604408 669417 765048 892556 906612 917448 1338834 1370711 1785112 1813224 2677668 2741422 4112133 5355336 5482844 8224266 9594977 10965688 16448532 19189954 28784931 32897064 38379908 57569862 76759816 115139724 230279448