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22641264 = 2432157231
BaseRepresentation
bin101011001011…
…1101001110000
31120121021222100
41112113221300
521244010024
62125140400
7363306342
oct126275160
946537870
1022641264
1111864798
1276ba700
1348c96c9
143015292
151ec37c9
hex1597a70

22641264 has 30 divisors (see below), whose sum is σ = 63364496. Its totient is φ = 7547040.

The previous prime is 22641259. The next prime is 22641277. The reversal of 22641264 is 46214622.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78472 + ... + 78759.

Almost surely, 222641264 is an apocalyptic number.

22641264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22641264 is an abundant number, since it is smaller than the sum of its proper divisors (40723232).

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

22641264 is a wasteful number, since it uses less digits than its factorization.

22641264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157245 (or 157236 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 22641264 is about 4758.2837242014. The cubic root of 22641264 is about 282.9003965513.

Adding to 22641264 its reverse (46214622), we get a palindrome (68855886).

The spelling of 22641264 in words is "twenty-two million, six hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157231 314462 471693 628924 943386 1257848 1415079 1886772 2515696 2830158 3773544 5660316 7547088 11320632 22641264