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230653962 = 232711166417
BaseRepresentation
bin11011011111110…
…00000000001010
3121002000102202100
431233320000022
5433021411322
634515414230
75500345350
oct1557700012
9532012670
10230653962
1110921a810
12652b4376
1338a2ab46
14228c17d0
15153b1dac
hexdbf800a

230653962 has 48 divisors (see below), whose sum is σ = 623068992. Its totient is φ = 59909760.

The previous prime is 230653961. The next prime is 230653963. The reversal of 230653962 is 269356032.

It is an interprime number because it is at equal distance from previous prime (230653961) and next prime (230653963).

It is not an unprimeable number, because it can be changed into a prime (230653961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81823 + ... + 84594.

It is an arithmetic number, because the mean of its divisors is an integer number (12980604).

Almost surely, 2230653962 is an apocalyptic number.

230653962 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

230653962 is an abundant number, since it is smaller than the sum of its proper divisors (392415030).

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

230653962 is a wasteful number, since it uses less digits than its factorization.

230653962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166443 (or 166440 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 230653962 is about 15187.2960727050. The cubic root of 230653962 is about 613.2727102836.

The spelling of 230653962 in words is "two hundred thirty million, six hundred fifty-three thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 166417 332834 499251 998502 1164919 1497753 1830587 2329838 2995506 3494757 3661174 5491761 6989514 10484271 10983522 12814109 16475283 20968542 25628218 32950566 38442327 76884654 115326981 230653962