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22131917824 = 21046492
BaseRepresentation
bin10100100111001010…
…100100010000000000
32010010102002220201011
4110213022210100000
5330311232332244
614100043450304
71412310124522
oct244712442000
963112086634
1022131917824
119427988485
124357b26994
13211928c683
1410dd4bda12
15897eda434
hex5272a4400

22131917824 has 33 divisors (see below), whose sum is σ = 44251740997. Its totient is φ = 11063578624.

The previous prime is 22131917807. The next prime is 22131917827. The reversal of 22131917824 is 42871913122.

The square root of 22131917824 is 148768.

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., 21658420224 + 473497600 = 147168^2 + 21760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22131917827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4758252 + ... + 4762900.

Almost surely, 222131917824 is an apocalyptic number.

22131917824 is the 148768-th square number.

It is an amenable number.

22131917824 is a deficient number, since it is larger than the sum of its proper divisors (22119823173).

22131917824 is an frugal number, since it uses more digits than its factorization.

22131917824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318 (or 4651 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The spelling of 22131917824 in words is "twenty-two billion, one hundred thirty-one million, nine hundred seventeen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 4649 9298 18596 37192 74384 148768 297536 595072 1190144 2380288 4760576 21613201 43226402 86452804 172905608 345811216 691622432 1383244864 2766489728 5532979456 11065958912 22131917824