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22353500052 = 22321371966431
BaseRepresentation
bin10100110100010111…
…110101011110010100
32010200212001110101100
4110310113311132110
5331234444000202
614134041030100
71420640421042
oct246427653624
963625043340
1022353500052
119530a71494
1243ba185330
132153162310
141120abd392
158ac6a941c
hex5345f5794

22353500052 has 72 divisors (see below), whose sum is σ = 60936744960. Its totient is φ = 6868330560.

The previous prime is 22353500051. The next prime is 22353500089. The reversal of 22353500052 is 25000535322.

It is a junction number, because it is equal to n+sod(n) for n = 22353499989 and 22353500025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22353500051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303277 + ... + 369707.

It is an arithmetic number, because the mean of its divisors is an integer number (846343680).

Almost surely, 222353500052 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 22353500052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30468372480).

22353500052 is an abundant number, since it is smaller than the sum of its proper divisors (38583244908).

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

22353500052 is a wasteful number, since it uses less digits than its factorization.

22353500052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67173 (or 67168 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 22353500052 in words is "twenty-two billion, three hundred fifty-three million, five hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 719 1438 2157 2876 4314 6471 8628 9347 12942 18694 25884 28041 37388 56082 66431 84123 112164 132862 168246 199293 265724 336492 398586 597879 797172 863603 1195758 1727206 2391516 2590809 3454412 5181618 7772427 10363236 15544854 31089708 47763889 95527778 143291667 191055556 286583334 429875001 573166668 620930557 859750002 1241861114 1719500004 1862791671 2483722228 3725583342 5588375013 7451166684 11176750026 22353500052