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22457722925764 = 22723384972
BaseRepresentation
bin1010001101100110110001…
…00110001111001011000100
32221111221022022202011202001
411012303120212033023010
510420421404032111024
6115432534021555044
74505342211140200
oct506633046171304
987457268664661
1022457722925764
1171792a3135745
122628559b75a84
13c6b9a5c374c9
14578d61181b00
1528e29c11b244
hex146cd898f2c4

22457722925764 has 27 divisors (see below), whose sum is σ = 45717642445293. Its totient is φ = 9624709963008.

The previous prime is 22457722925707. The next prime is 22457722925789. The reversal of 22457722925764 is 46752922775422.

The square root of 22457722925764 is 4738958.

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., 1662371848900 + 20795351076864 = 1289330^2 + 4560192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22457722925696 and 22457722925705.

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, 66176164 + ... + 66514660.

Almost surely, 222457722925764 is an apocalyptic number.

22457722925764 is the 4738958-th square number.

It is an amenable number.

22457722925764 is an abundant number, since it is smaller than the sum of its proper divisors (23259919519529).

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

22457722925764 is an frugal number, since it uses more digits than its factorization.

22457722925764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677012 (or 338506 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 64.

The spelling of 22457722925764 in words is "twenty-two trillion, four hundred fifty-seven billion, seven hundred twenty-two million, nine hundred twenty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 338497 676994 1353988 2369479 4738958 9477916 16586353 33172706 66345412 114580219009 229160438018 458320876036 802061533063 1604123066126 3208246132252 5614430731441 11228861462882 22457722925764