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23270064 = 2432973229
BaseRepresentation
bin101100011000…
…1001010110000
31121210020112020
41120301022300
521424120224
62150431440
7401535516
oct130611260
947706466
1023270064
1112154164
127962580
134a8998c
14313a4b6
152099c79
hex16312b0

23270064 has 80 divisors (see below), whose sum is σ = 63314400. Its totient is φ = 7354368.

The previous prime is 23270047. The next prime is 23270081. The reversal of 23270064 is 46007232.

It is an interprime number because it is at equal distance from previous prime (23270047) and next prime (23270081).

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

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, 101502 + ... + 101730.

It is an arithmetic number, because the mean of its divisors is an integer number (791430).

Almost surely, 223270064 is an apocalyptic number.

23270064 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 23270064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657200).

23270064 is an abundant number, since it is smaller than the sum of its proper divisors (40044336).

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

23270064 is a wasteful number, since it uses less digits than its factorization.

23270064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 23270064 is about 4823.9054717107. The cubic root of 23270064 is about 285.4954509086.

Adding to 23270064 its reverse (46007232), we get a palindrome (69277296).

The spelling of 23270064 in words is "twenty-three million, two hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 73 87 116 146 174 219 229 232 292 348 438 458 464 584 687 696 876 916 1168 1374 1392 1752 1832 2117 2748 3504 3664 4234 5496 6351 6641 8468 10992 12702 13282 16717 16936 19923 25404 26564 33434 33872 39846 50151 50808 53128 66868 79692 100302 101616 106256 133736 159384 200604 267472 318768 401208 484793 802416 969586 1454379 1939172 2908758 3878344 5817516 7756688 11635032 23270064