Search a number
-
+
22732115984 = 24311132391697
BaseRepresentation
bin10101001010111100…
…001001000000010000
32011200020111010210122
4111022330021000100
5333023410202414
614235404045412
71433215540424
oct251274110020
964606433718
1022732115984
119705761216
1244a4b33868
1321b3727506
1411590b8b84
158d0a46b8e
hex54af09010

22732115984 has 80 divisors (see below), whose sum is σ = 46085621760. Its totient is φ = 10850058240.

The previous prime is 22732115909. The next prime is 22732115999. The reversal of 22732115984 is 48951123722.

It is a super-2 number, since 2×227321159842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13394624 + ... + 13396320.

It is an arithmetic number, because the mean of its divisors is an integer number (576070272).

Almost surely, 222732115984 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 22732115984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042810880).

22732115984 is an abundant number, since it is smaller than the sum of its proper divisors (23353505776).

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

22732115984 is a wasteful number, since it uses less digits than its factorization.

22732115984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2082 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The spelling of 22732115984 in words is "twenty-two billion, seven hundred thirty-two million, one hundred fifteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 62 113 124 226 239 248 452 478 496 904 956 1697 1808 1912 3394 3503 3824 6788 7006 7409 13576 14012 14818 27007 27152 28024 29636 52607 54014 56048 59272 105214 108028 118544 191761 210428 216056 383522 405583 420856 432112 767044 811166 837217 841712 1534088 1622332 1674434 3068176 3244664 3348868 5944591 6489328 6697736 11889182 12573073 13395472 23778364 25146146 45830879 47556728 50292292 91661758 95113456 100584584 183323516 201169168 366647032 733294064 1420757249 2841514498 5683028996 11366057992 22732115984