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22220076096 = 263262112
BaseRepresentation
bin10100101100011010…
…110111010001000000
32010100112222211010100
4110230122313101000
5331001314413341
614112513202400
71414430346651
oct245432672100
963315884110
1022220076096
119472721059
124381560400
13213161822a
14110b0ab528
158a0b013b6
hex52c6b7440

22220076096 has 63 divisors (see below), whose sum is σ = 63700092183. Its totient is φ = 7405499520.

The previous prime is 22220076077. The next prime is 22220076101. The reversal of 22220076096 is 69067002222.

The square root of 22220076096 is 149064.

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

22220076096 is a `hidden beast` number, since 2 + 22 + 20 + 0 + 7 + 609 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22220076096.

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, 3574431 + ... + 3580641.

Almost surely, 222220076096 is an apocalyptic number.

22220076096 is the 149064-th square number.

It is an amenable number.

22220076096 is an abundant number, since it is smaller than the sum of its proper divisors (41480016087).

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

22220076096 is an frugal number, since it uses more digits than its factorization.

22220076096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12440 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 22220076096 by its sum of digits (36), we get a square (799922739456 = 8943842).

22220076096 divided by its sum of digits (36) gives a square (617224336 = 248442).

The spelling of 22220076096 in words is "twenty-two billion, two hundred twenty million, seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 6211 12422 18633 24844 37266 49688 55899 74532 99376 111798 149064 198752 223596 298128 397504 447192 596256 894384 1192512 1788768 3577536 38576521 77153042 115729563 154306084 231459126 308612168 347188689 462918252 617224336 694377378 925836504 1234448672 1388754756 1851673008 2468897344 2777509512 3703346016 5555019024 7406692032 11110038048 22220076096