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22980134464 = 267227072
BaseRepresentation
bin10101011001101110…
…010000011001000000
32012022112011210012021
4111121232100121000
5334030403300324
614320144011224
71442316630400
oct253156203100
965275153167
1022980134464
119822761171
124554000b14
132222c25001
14117ddda800
158e76d8ae4
hex559b90640

22980134464 has 63 divisors (see below), whose sum is σ = 53065902123. Its totient is φ = 9844990848.

The previous prime is 22980134351. The next prime is 22980134473. The reversal of 22980134464 is 46443108922.

The square root of 22980134464 is 151592.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22980134464.

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, 8487799 + ... + 8490505.

Almost surely, 222980134464 is an apocalyptic number.

22980134464 is the 151592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22980134464

22980134464 is an abundant number, since it is smaller than the sum of its proper divisors (30085767659).

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

22980134464 is an frugal number, since it uses more digits than its factorization.

22980134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 22980134464 in words is "twenty-two billion, nine hundred eighty million, one hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2707 3136 5414 10828 18949 21656 37898 43312 75796 86624 132643 151592 173248 265286 303184 530572 606368 1061144 1212736 2122288 4244576 7327849 8489152 14655698 29311396 51294943 58622792 102589886 117245584 205179772 234491168 359064601 410359544 468982336 718129202 820719088 1436258404 1641438176 2872516808 3282876352 5745033616 11490067232 22980134464