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23142312 = 23322931097
BaseRepresentation
bin101100001000…
…1111110101000
31121112202021200
41120101332220
521411023222
62144004200
7400464204
oct130217650
947482250
1023142312
1112077186
127900660
134a4379b
143105b04
152071eac
hex1611fa8

23142312 has 48 divisors (see below), whose sum is σ = 62948340. Its totient is φ = 7680768.

The previous prime is 23142311. The next prime is 23142313. The reversal of 23142312 is 21324132.

23142312 is a `hidden beast` number, since 231 + 423 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (23142311) and next prime (23142313).

It can be written as a sum of positive squares in 2 ways, for example, as 22524516 + 617796 = 4746^2 + 786^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23142311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20548 + ... + 21644.

Almost surely, 223142312 is an apocalyptic number.

It is an amenable number.

23142312 is an abundant number, since it is smaller than the sum of its proper divisors (39806028).

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

23142312 is a wasteful number, since it uses less digits than its factorization.

23142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1395 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 23142312 is about 4810.6456947067. The cubic root of 23142312 is about 284.9720378845.

Adding to 23142312 its reverse (21324132), we get a palindrome (44466444).

The spelling of 23142312 in words is "twenty-three million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1097 1172 1758 2194 2344 2637 3291 3516 4388 5274 6582 7032 8776 9873 10548 13164 19746 21096 26328 39492 78984 321421 642842 964263 1285684 1928526 2571368 2892789 3857052 5785578 7714104 11571156 23142312