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22561641472 = 210113194981
BaseRepresentation
bin10101000000110001…
…110101010000000000
32011020100201010201211
4111000301311100000
5332201240011342
614210434135504
71426045534246
oct250061652000
964210633654
1022561641472
119628505197
124457a21594
13218730a216
1411405c0796
158c0ac0c17
hex540c75400

22561641472 has 44 divisors (see below), whose sum is σ = 45500609556. Its totient is φ = 11180933120.

The previous prime is 22561641449. The next prime is 22561641563. The reversal of 22561641472 is 27414616522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1659421696 + 20902219776 = 40736^2 + 144576^2 .

It is a super-2 number, since 2×225616414722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 18222 + ... + 213202.

Almost surely, 222561641472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22561641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22750304778).

22561641472 is an abundant number, since it is smaller than the sum of its proper divisors (22938968084).

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

22561641472 is a wasteful number, since it uses less digits than its factorization.

22561641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195114 (or 195096 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The spelling of 22561641472 in words is "twenty-two billion, five hundred sixty-one million, six hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1024 1808 3616 7232 14464 28928 57856 115712 194981 389962 779924 1559848 3119696 6239392 12478784 22032853 24957568 44065706 49915136 88131412 99830272 176262824 199660544 352525648 705051296 1410102592 2820205184 5640410368 11280820736 22561641472