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23922668 = 22711223307
BaseRepresentation
bin101101101000…
…0011111101100
31200000101201202
41123100133230
522111011133
62212425032
7410224250
oct133203754
950011652
1023922668
111255a500
128018178
134c57a33
14326a260
1521782e8
hex16d07ec

23922668 has 72 divisors (see below), whose sum is σ = 55055616. Its totient is φ = 8886240.

The previous prime is 23922667. The next prime is 23922707. The reversal of 23922668 is 86622932.

It is not an unprimeable number, because it can be changed into a prime (23922667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77771 + ... + 78077.

Almost surely, 223922668 is an apocalyptic number.

23922668 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 23922668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27527808).

23922668 is an abundant number, since it is smaller than the sum of its proper divisors (31132948).

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

23922668 is a wasteful number, since it uses less digits than its factorization.

23922668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 23922668 is about 4891.0804532332. The cubic root of 23922668 is about 288.1397694774.

The spelling of 23922668 in words is "twenty-three million, nine hundred twenty-two thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 242 253 307 308 322 484 506 614 644 847 1012 1228 1694 1771 2149 2783 3377 3388 3542 4298 5566 6754 7061 7084 8596 11132 13508 14122 19481 23639 28244 37147 38962 47278 49427 74294 77671 77924 94556 98854 148588 155342 197708 260029 310684 520058 543697 854381 1040116 1087394 1708762 2174788 3417524 5980667 11961334 23922668