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665227264 = 212132312
BaseRepresentation
bin100111101001101…
…001000000000000
31201100202001020211
4213221221000000
52330244233024
6150002043504
722325224042
oct4751510000
91640661224
10665227264
1131155a0a9
12166949594
13a7a85c00
14644c5a92
153d604594
hex27a69000

665227264 has 117 divisors (see below), whose sum is σ = 1488460329. Its totient is φ = 297123840.

The previous prime is 665227253. The next prime is 665227267. The reversal of 665227264 is 462722566.

The square root of 665227264 is 25792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 98406400 + 566820864 = 9920^2 + 23808^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (241920) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (665227267) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21458929 + ... + 21458959.

Almost surely, 2665227264 is an apocalyptic number.

665227264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

665227264 is the 25792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665227264

665227264 is an abundant number, since it is smaller than the sum of its proper divisors (823233065).

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

665227264 is an equidigital number, since it uses as much as digits as its factorization.

665227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 46 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The cubic root of 665227264 is about 872.9512946790.

The spelling of 665227264 in words is "six hundred sixty-five million, two hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 208 248 256 338 403 416 496 512 676 806 832 961 992 1024 1352 1612 1664 1922 1984 2048 2704 3224 3328 3844 3968 4096 5239 5408 6448 6656 7688 7936 10478 10816 12493 12896 13312 15376 15872 20956 21632 24986 25792 26624 30752 31744 41912 43264 49972 51584 53248 61504 63488 83824 86528 99944 103168 123008 126976 162409 167648 173056 199888 206336 246016 324818 335296 346112 399776 412672 492032 649636 670592 692224 799552 825344 984064 1299272 1341184 1599104 1650688 1968128 2598544 2682368 3198208 3936256 5197088 5364736 6396416 10394176 10729472 12792832 20788352 21458944 25585664 41576704 51171328 83153408 166306816 332613632 665227264