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22628884041 = 3241212232
BaseRepresentation
bin10101000100110010…
…010101111001001001
32011102001020102012100
4111010302111321021
5332320443242131
614221235304013
71430523224601
oct250462257111
964361212170
1022628884041
119662462565
12447644b009
13219822191a
1411494c5c01
158c69547e6
hex544c95e49

22628884041 has 27 divisors (see below), whose sum is σ = 33530250247. Its totient is φ = 14705939040.

The previous prime is 22628884021. The next prime is 22628884073. The reversal of 22628884041 is 14048882622.

The square root of 22628884041 is 150429.

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., 1090386441 + 21538497600 = 33021^2 + 146760^2 .

It is a de Polignac number, because none of the positive numbers 2k-22628884041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22628884001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18502156 + ... + 18503378.

Almost surely, 222628884041 is an apocalyptic number.

22628884041 is the 150429-th square number.

22628884041 is the 75215-th centered octagonal number.

It is an amenable number.

22628884041 is a deficient number, since it is larger than the sum of its proper divisors (10901366206).

22628884041 is an frugal number, since it uses more digits than its factorization.

22628884041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 22628884041 in words is "twenty-two billion, six hundred twenty-eight million, eight hundred eighty-four thousand, forty-one".

Divisors: 1 3 9 41 123 369 1223 1681 3669 5043 11007 15129 50143 150429 451287 1495729 2055863 4487187 6167589 13461561 18502767 61324889 183974667 551924001 2514320449 7542961347 22628884041