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22406534144 = 210311973583
BaseRepresentation
bin10100110111100010…
…001001010000000000
32010211112211212110222
4110313202021100000
5331342033043034
614143213442212
71422153253301
oct246742112000
963745755428
1022406534144
1195589a4815
124413aa0368
132161140737
141127b667a8
158b218312e
hex537889400

22406534144 has 88 divisors (see below), whose sum is σ = 46483734528. Its totient is φ = 10783825920.

The previous prime is 22406534023. The next prime is 22406534147. The reversal of 22406534144 is 44143560422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22406534147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6251777 + ... + 6255359.

It is an arithmetic number, because the mean of its divisors is an integer number (528224256).

Almost surely, 222406534144 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 22406534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23241867264).

22406534144 is an abundant number, since it is smaller than the sum of its proper divisors (24077200384).

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

22406534144 is a wasteful number, since it uses less digits than its factorization.

22406534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 22406534144 in words is "twenty-two billion, four hundred six million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 197 248 256 394 496 512 788 992 1024 1576 1984 3152 3583 3968 6107 6304 7166 7936 12214 12608 14332 15872 24428 25216 28664 31744 48856 50432 57328 97712 100864 111073 114656 195424 201728 222146 229312 390848 444292 458624 705851 781696 888584 917248 1411702 1563392 1777168 1834496 2823404 3126784 3554336 3668992 5646808 6253568 7108672 11293616 14217344 21881381 22587232 28434688 43762762 45174464 56869376 87525524 90348928 113738752 175051048 180697856 350102096 361395712 700204192 722791424 1400408384 2800816768 5601633536 11203267072 22406534144