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22690978024 = 23112135693169
BaseRepresentation
bin10101001000011111…
…001101100011101000
32011120101002010010111
4111020133031203220
5332432342244044
614231334224104
71432206062611
oct251037154350
964511063114
1022690978024
119694513700
1244931b5034
1321a8052a20
14115384ac08
158cc11cb34
hex5487cd8e8

22690978024 has 96 divisors (see below), whose sum is σ = 50466717000. Its totient is φ = 9500958720.

The previous prime is 22690977989. The next prime is 22690978027. The reversal of 22690978024 is 42087909622.

It can be written as a sum of positive squares in 4 ways, for example, as 15587522500 + 7103455524 = 124850^2 + 84282^2 .

It is not an unprimeable number, because it can be changed into a prime (22690978027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7158712 + ... + 7161880.

Almost surely, 222690978024 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 22690978024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25233358500).

22690978024 is an abundant number, since it is smaller than the sum of its proper divisors (27775738976).

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

22690978024 is a wasteful number, since it uses less digits than its factorization.

22690978024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 22690978024 in words is "twenty-two billion, six hundred ninety million, nine hundred seventy-eight thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 569 572 968 1138 1144 1573 2276 3146 3169 4552 6259 6292 6338 7397 12518 12584 12676 14794 25036 25352 29588 34859 41197 50072 59176 68849 69718 81367 82394 137698 139436 162734 164788 275396 278872 325468 329576 383449 453167 550792 650936 766898 895037 906334 1533796 1790074 1803161 1812668 3067592 3580148 3606322 3625336 4984837 7160296 7212644 9969674 14425288 19834771 19939348 23441093 39669542 39878696 46882186 79339084 93764372 158678168 187528744 218182481 257852023 436364962 515704046 872729924 1031408092 1745459848 2062816184 2836372253 5672744506 11345489012 22690978024