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231424008 = 23341251937
BaseRepresentation
bin11011100101101…
…00000000001000
3121010110120001120
431302310000020
5433221032013
634544115240
75510033364
oct1562640010
9533416046
10231424008
111096a6312
1265605b20
1338c3a4aa
1422a422a4
15154b5123
hexdcb4008

231424008 has 64 divisors (see below), whose sum is σ = 595667520. Its totient is φ = 74880000.

The previous prime is 231424007. The next prime is 231424033. The reversal of 231424008 is 800424132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (231424007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246516 + ... + 247452.

It is an arithmetic number, because the mean of its divisors is an integer number (9307305).

Almost surely, 2231424008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231424008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297833760).

231424008 is an abundant number, since it is smaller than the sum of its proper divisors (364243512).

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

231424008 is a wasteful number, since it uses less digits than its factorization.

231424008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 231424008 is about 15212.6265976655. The cubic root of 231424008 is about 613.9544293793.

The spelling of 231424008 in words is "two hundred thirty-one million, four hundred twenty-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 251 328 492 502 753 937 984 1004 1506 1874 2008 2811 3012 3748 5622 6024 7496 10291 11244 20582 22488 30873 38417 41164 61746 76834 82328 115251 123492 153668 230502 235187 246984 307336 461004 470374 705561 922008 940748 1411122 1881496 2822244 5644488 9642667 19285334 28928001 38570668 57856002 77141336 115712004 231424008