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14222688 = 253148153
BaseRepresentation
bin110110010000…
…010101100000
3222202120212020
4312100111200
512120111223
61224501440
7231614364
oct66202540
928676766
1014222688
118034797
12491a880
132c3c8bc
141c632a4
1513ae1e3
hexd90560

14222688 has 24 divisors (see below), whose sum is σ = 37334808. Its totient is φ = 4740864.

The previous prime is 14222687. The next prime is 14222701. The reversal of 14222688 is 88622241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73981 + ... + 74172.

It is an arithmetic number, because the mean of its divisors is an integer number (1555617).

Almost surely, 214222688 is an apocalyptic number.

It is an amenable number.

14222688 is an abundant number, since it is smaller than the sum of its proper divisors (23112120).

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

14222688 is a wasteful number, since it uses less digits than its factorization.

14222688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148166 (or 148158 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 14222688 is about 3771.2979198149. The cubic root of 14222688 is about 242.2853906021.

The spelling of 14222688 in words is "fourteen million, two hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 148153 296306 444459 592612 888918 1185224 1777836 2370448 3555672 4740896 7111344 14222688