Search a number
-
+
22958816328 = 23327225512
BaseRepresentation
bin10101011000011100…
…111011110001001000
32012021001001201012200
4111120130323301020
5334004424110303
614314103040200
71441640501400
oct253034736110
965231051180
1022958816328
119811720578
124548a40060
13221b69c926
14117b24b800
158e58c73a3
hex55873bc48

22958816328 has 108 divisors (see below), whose sum is σ = 72360350595. Its totient is φ = 6557090400.

The previous prime is 22958816311. The next prime is 22958816341. The reversal of 22958816328 is 82361885922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22958816328 is a `hidden beast` number, since 2 + 29 + 588 + 1 + 6 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11479408164 + 11479408164 = 107142^2 + 107142^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8998653 + ... + 9001203.

Almost surely, 222958816328 is an apocalyptic number.

22958816328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22958816328

22958816328 is an abundant number, since it is smaller than the sum of its proper divisors (49401534267).

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

22958816328 is an equidigital number, since it uses as much as digits as its factorization.

22958816328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 2563 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 22958816328 in words is "twenty-two billion, nine hundred fifty-eight million, eight hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 2551 3528 5102 7653 10204 15306 17857 20408 22959 30612 35714 45918 53571 61224 71428 91836 107142 124999 142856 160713 183672 214284 249998 321426 374997 428568 499996 642852 749994 999992 1124991 1285704 1499988 2249982 2999976 4499964 6507601 8999928 13015202 19522803 26030404 39045606 45553207 52060808 58568409 78091212 91106414 117136818 136659621 156182424 182212828 234273636 273319242 318872449 364425656 409978863 468547272 546638484 637744898 819957726 956617347 1093276968 1275489796 1639915452 1913234694 2550979592 2869852041 3279830904 3826469388 5739704082 7652938776 11479408164 22958816328