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23266464 = 25313103181
BaseRepresentation
bin101100011000…
…0010010100000
31121210001120220
41120300102200
521424011324
62150403040
7401522154
oct130602240
947701526
1023266464
1112151491
127960480
134a88150
143139064
152098b79
hex16304a0

23266464 has 96 divisors (see below), whose sum is σ = 66777984. Its totient is φ = 7050240.

The previous prime is 23266433. The next prime is 23266493. The reversal of 23266464 is 46466232.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 128454 + ... + 128634.

It is an arithmetic number, because the mean of its divisors is an integer number (695604).

Almost surely, 223266464 is an apocalyptic number.

23266464 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 23266464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33388992).

23266464 is an abundant number, since it is smaller than the sum of its proper divisors (43511520).

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

23266464 is a wasteful number, since it uses less digits than its factorization.

23266464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 23266464 is about 4823.5323156376. The cubic root of 23266464 is about 285.4807276053.

Subtracting from 23266464 its sum of digits (33), we obtain a triangular number (23266431 = T6821).

The spelling of 23266464 in words is "twenty-three million, two hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 181 206 208 309 312 362 412 416 543 618 624 724 824 1086 1236 1248 1339 1448 1648 2172 2353 2472 2678 2896 3296 4017 4344 4706 4944 5356 5792 7059 8034 8688 9412 9888 10712 14118 16068 17376 18643 18824 21424 28236 32136 37286 37648 42848 55929 56472 64272 74572 75296 111858 112944 128544 149144 223716 225888 242359 298288 447432 484718 596576 727077 894864 969436 1454154 1789728 1938872 2908308 3877744 5816616 7755488 11633232 23266464