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22263027264 = 263262172
BaseRepresentation
bin10100101110111110…
…101101011001000000
32010110112210222001100
4110232332231121000
5331043313333024
614121045534400
71415461416012
oct245676553100
963415728040
1022263027264
119494997995
124393a14400
13213a4a611a
141112a8c1b2
158a47877c9
hex52efad640

22263027264 has 63 divisors (see below), whose sum is σ = 63823213857. Its totient is φ = 7419815424.

The previous prime is 22263027253. The next prime is 22263027277. The reversal of 22263027264 is 46272036222.

The square root of 22263027264 is 149208.

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

22263027264 is a `hidden beast` number, since 2 + 226 + 302 + 72 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16394241600 + 5868785664 = 128040^2 + 76608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3577884 + ... + 3584100.

Almost surely, 222263027264 is an apocalyptic number.

22263027264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22263027264 is the 149208-th square number.

It is an amenable number.

22263027264 is an abundant number, since it is smaller than the sum of its proper divisors (41560186593).

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

22263027264 is an frugal number, since it uses more digits than its factorization.

22263027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12452 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 22263027264 by its sum of digits (36), we get a square (801468981504 = 8952482).

22263027264 divided by its sum of digits (36) gives a square (618417424 = 248682).

The spelling of 22263027264 in words is "twenty-two billion, two hundred sixty-three million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 6217 12434 18651 24868 37302 49736 55953 74604 99472 111906 149208 198944 223812 298416 397888 447624 596832 895248 1193664 1790496 3580992 38651089 77302178 115953267 154604356 231906534 309208712 347859801 463813068 618417424 695719602 927626136 1236834848 1391439204 1855252272 2473669696 2782878408 3710504544 5565756816 7421009088 11131513632 22263027264