Search a number
-
+
22317969664 = 2893372
BaseRepresentation
bin10100110010010000…
…010011000100000000
32010121101012022212001
4110302100103010000
5331201400012124
614130331313344
71420026416644
oct246220230400
963541168761
1022317969664
119512a03a31
1243aa2ab854
1321489a2013
14111a0b0c24
158a94dbb44
hex532413100

22317969664 has 27 divisors (see below), whose sum is σ = 44553531477. Its totient is φ = 11157789696.

The previous prime is 22317969659. The next prime is 22317969673. The reversal of 22317969664 is 46696971322.

The square root of 22317969664 is 149392.

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., 21176070400 + 1141899264 = 145520^2 + 33792^2 .

It is a super-3 number, since 3×223179696643 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2385604 + ... + 2394940.

Almost surely, 222317969664 is an apocalyptic number.

22317969664 is the 149392-nd square number.

It is an amenable number.

22317969664 is a deficient number, since it is larger than the sum of its proper divisors (22235561813).

22317969664 is an frugal number, since it uses more digits than its factorization.

22317969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18690 (or 9339 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 55.

The spelling of 22317969664 in words is "twenty-two billion, three hundred seventeen million, nine hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 9337 18674 37348 74696 149392 298784 597568 1195136 2390272 87179569 174359138 348718276 697436552 1394873104 2789746208 5579492416 11158984832 22317969664