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22668744 = 2337592287
BaseRepresentation
bin101011001111…
…0010111001000
31120122200200010
41112132113020
521300344434
62125511520
7363452430
oct126362710
946580603
1022668744
11118833aa
1277125a0
134909077
1430212c0
151ecb9e9
hex159e5c8

22668744 has 64 divisors (see below), whose sum is σ = 65894400. Its totient is φ = 6364224.

The previous prime is 22668733. The next prime is 22668757. The reversal of 22668744 is 44786622.

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

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8769 + ... + 11055.

It is an arithmetic number, because the mean of its divisors is an integer number (1029600).

Almost surely, 222668744 is an apocalyptic number.

22668744 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 22668744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947200).

22668744 is an abundant number, since it is smaller than the sum of its proper divisors (43225656).

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

22668744 is a wasteful number, since it uses less digits than its factorization.

22668744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2358 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 22668744 is about 4761.1704443340. The cubic root of 22668744 is about 283.0148035891.

The spelling of 22668744 in words is "twenty-two million, six hundred sixty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2287 2478 3304 4574 4956 6861 9148 9912 13722 16009 18296 27444 32018 48027 54888 64036 96054 128072 134933 192108 269866 384216 404799 539732 809598 944531 1079464 1619196 1889062 2833593 3238392 3778124 5667186 7556248 11334372 22668744