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644226264 = 23331121572
BaseRepresentation
bin100110011001100…
…001110011011000
31122220020002022000
4212121201303120
52304410220024
6143532001000
721651555453
oct4631416330
91586202260
10644226264
11300715800
1215b900160
13a3611c96
14617ba49a
153b856cc9
hex26661cd8

644226264 has 144 divisors (see below), whose sum is σ = 1979598600. Its totient is φ = 193976640.

The previous prime is 644226263. The next prime is 644226281. The reversal of 644226264 is 462622446.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

644226264 is a `hidden beast` number, since 6 + 4 + 4 + 22 + 626 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (644226263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4103274 + ... + 4103430.

Almost surely, 2644226264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644226264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989799300).

644226264 is an abundant number, since it is smaller than the sum of its proper divisors (1335372336).

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

644226264 is a wasteful number, since it uses less digits than its factorization.

644226264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 173 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 644226264 is about 25381.6127147193. The cubic root of 644226264 is about 863.6666345082. Note that the first 4 decimals are identical.

The spelling of 644226264 in words is "six hundred forty-four million, two hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 157 198 216 242 264 297 314 363 396 471 484 594 628 726 792 942 968 1089 1188 1256 1413 1452 1727 1884 2178 2376 2826 2904 3267 3454 3768 4239 4356 5181 5652 6534 6908 8478 8712 10362 11304 13068 13816 15543 16956 18997 20724 24649 26136 31086 33912 37994 41448 46629 49298 56991 62172 73947 75988 93258 98596 113982 124344 147894 151976 170973 186516 197192 221841 227964 271139 295788 341946 373032 443682 455928 512919 542278 591576 665523 683892 813417 887364 1025838 1084556 1331046 1367784 1626834 1774728 2051676 2169112 2440251 2662092 2982529 3253668 4103352 4880502 5324184 5965058 6507336 7320753 8947587 9761004 11930116 14641506 17895174 19522008 23860232 26842761 29283012 35790348 53685522 58566024 71580696 80528283 107371044 161056566 214742088 322113132 644226264