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1064223216 = 243272274651
BaseRepresentation
bin111111011011101…
…100000111110000
32202011112010210200
4333123230013300
54134420120331
6253333555200
735241514410
oct7733540760
92664463720
101064223216
114a67a9721
122584a5b00
1313c6354a4
14a14a8640
156366a5e6
hex3f6ec1f0

1064223216 has 120 divisors (see below), whose sum is σ = 3419554944. Its totient is φ = 302659200.

The previous prime is 1064223203. The next prime is 1064223221. The reversal of 1064223216 is 6123224601.

1064223216 is a `hidden beast` number, since 1 + 0 + 642 + 2 + 3 + 2 + 16 = 666.

It is a super-2 number, since 2×10642232162 = 2265142106946765312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064223216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226491 + ... + 231141.

Almost surely, 21064223216 is an apocalyptic number.

1064223216 is a gapful number since it is divisible by the number (16) 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 1064223216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709777472).

1064223216 is an abundant number, since it is smaller than the sum of its proper divisors (2355331728).

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

1064223216 is a wasteful number, since it uses less digits than its factorization.

1064223216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1064223216 is about 32622.4342439371. The cubic root of 1064223216 is about 1020.9651303290.

Adding to 1064223216 its reverse (6123224601), we get a palindrome (7187447817).

The spelling of 1064223216 in words is "one billion, sixty-four million, two hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 227 252 336 454 504 681 908 1008 1362 1589 1816 2043 2724 3178 3632 4086 4651 4767 5448 6356 8172 9302 9534 10896 12712 13953 14301 16344 18604 19068 25424 27906 28602 32557 32688 37208 38136 41859 55812 57204 65114 74416 76272 83718 97671 111624 114408 130228 167436 195342 223248 228816 260456 293013 334872 390684 520912 586026 669744 781368 1055777 1172052 1562736 2111554 2344104 3167331 4223108 4688208 6334662 7390439 8446216 9501993 12669324 14780878 16892432 19003986 22171317 25338648 29561756 38007972 44342634 50677296 59123512 66513951 76015944 88685268 118247024 133027902 152031888 177370536 266055804 354741072 532111608 1064223216