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22387341376 = 265923172
BaseRepresentation
bin10100110110011000…
…111011100001000000
32010210012201202221201
4110312120323201000
5331322124411001
614141250230544
71421531155561
oct246630734100
963705652851
1022387341376
119549085a24
124409585454
13215a18087a
1411253ac168
158b0641501
hex53663b840

22387341376 has 63 divisors (see below), whose sum is σ = 45333613549. Its totient is φ = 10969234688.

The previous prime is 22387341359. The next prime is 22387341391. The reversal of 22387341376 is 67314378322.

The square root of 22387341376 is 149624.

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., 1253160000 + 21134181376 = 35400^2 + 145376^2 .

It is a Duffinian number.

Its product of digits (1016064) is a multiple of the sum of its prime divisors (378).

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, 70622370 + ... + 70622686.

Almost surely, 222387341376 is an apocalyptic number.

22387341376 is the 149624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22387341376

22387341376 is an abundant number, since it is smaller than the sum of its proper divisors (22946272173).

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

22387341376 is an frugal number, since it uses more digits than its factorization.

22387341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 378 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 46.

The spelling of 22387341376 in words is "twenty-two billion, three hundred eighty-seven million, three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 118 236 317 472 634 944 1268 1888 2536 3481 3776 5072 6962 10144 13924 18703 20288 27848 37406 55696 74812 100489 111392 149624 200978 222784 299248 401956 598496 803912 1103477 1196992 1607824 2206954 3215648 4413908 5928851 6431296 8827816 11857702 17655632 23715404 35311264 47430808 70622528 94861616 189723232 349802209 379446464 699604418 1399208836 2798417672 5596835344 11193670688 22387341376