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23138664 = 2334773281
BaseRepresentation
bin101100001000…
…1000101101000
31121112120021120
41120101011220
521410414124
62143535240
7400450443
oct130210550
947476246
1023138664
111207446a
1278ba520
134a41c23
14310465a
152070d79
hex1611168

23138664 has 64 divisors (see below), whose sum is σ = 60099840. Its totient is φ = 7418880.

The previous prime is 23138659. The next prime is 23138677. The reversal of 23138664 is 46683132.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82204 + ... + 82484.

It is an arithmetic number, because the mean of its divisors is an integer number (939060).

Almost surely, 223138664 is an apocalyptic number.

23138664 is a gapful number since it is divisible by the number (24) 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 23138664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30049920).

23138664 is an abundant number, since it is smaller than the sum of its proper divisors (36961176).

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

23138664 is a wasteful number, since it uses less digits than its factorization.

23138664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 23138664 is about 4810.2665206826. The cubic root of 23138664 is about 284.9570633994.

The spelling of 23138664 in words is "twenty-three million, one hundred thirty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 73 94 141 146 188 219 281 282 292 376 438 562 564 584 843 876 1124 1128 1686 1752 2248 3372 3431 6744 6862 10293 13207 13724 20513 20586 26414 27448 39621 41026 41172 52828 61539 79242 82052 82344 105656 123078 158484 164104 246156 316968 492312 964111 1928222 2892333 3856444 5784666 7712888 11569332 23138664