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231269040 = 24335107069
BaseRepresentation
bin11011100100011…
…10001010110000
3121010011200111000
431302032022300
5433201102130
634540522000
75505516522
oct1562161260
9533150430
10231269040
111095aa942
1265550300
1338bb4ab2
1422a01a12
1515484260
hexdc8e2b0

231269040 has 80 divisors (see below), whose sum is σ = 796600800. Its totient is φ = 61671168.

The previous prime is 231269039. The next prime is 231269041. The reversal of 231269040 is 40962132.

It is an interprime number because it is at equal distance from previous prime (231269039) and next prime (231269041).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 231268995 and 231269013.

It is not an unprimeable number, because it can be changed into a prime (231269041) 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 15 ways as a sum of consecutive naturals, for example, 51375 + ... + 55694.

It is an arithmetic number, because the mean of its divisors is an integer number (9957510).

Almost surely, 2231269040 is an apocalyptic number.

231269040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231269040 is an abundant number, since it is smaller than the sum of its proper divisors (565331760).

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

231269040 is a wasteful number, since it uses less digits than its factorization.

231269040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107091 (or 107079 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 231269040 is about 15207.5323442036. The cubic root of 231269040 is about 613.8173584165.

The spelling of 231269040 in words is "two hundred thirty-one million, two hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 107069 214138 321207 428276 535345 642414 856552 963621 1070690 1284828 1606035 1713104 1927242 2141380 2569656 2890863 3212070 3854484 4282760 4818105 5139312 5781726 6424140 7708968 8565520 9636210 11563452 12848280 14454315 15417936 19272420 23126904 25696560 28908630 38544840 46253808 57817260 77089680 115634520 231269040