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14223264 = 2531113469
BaseRepresentation
bin110110010000…
…011110100000
3222202121122120
4312100132200
512120121024
61224504240
7231616146
oct66203640
928677576
1014223264
118035170
12491b080
132c3cc43
141c63596
1513ae479
hexd907a0

14223264 has 48 divisors (see below), whose sum is σ = 40733280. Its totient is φ = 4309760.

The previous prime is 14223263. The next prime is 14223277. The reversal of 14223264 is 46232241.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 (14223263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5679 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (848610).

Almost surely, 214223264 is an apocalyptic number.

It is an amenable number.

14223264 is an abundant number, since it is smaller than the sum of its proper divisors (26510016).

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

14223264 is a wasteful number, since it uses less digits than its factorization.

14223264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13493 (or 13485 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 14223264 is about 3771.3742853236. The cubic root of 14223264 is about 242.2886613036.

The spelling of 14223264 in words is "fourteen million, two hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 13469 26938 40407 53876 80814 107752 148159 161628 215504 296318 323256 431008 444477 592636 646512 888954 1185272 1293024 1777908 2370544 3555816 4741088 7111632 14223264