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22434653052 = 2233795331139
BaseRepresentation
bin10100111001001101…
…011010001101111100
32010220111202110101000
4110321031122031330
5331421232344202
614150100250300
71422644255520
oct247115321574
963814673330
1022434653052
11957285a989
1244213a0990
132166c07446
14112b7a5d80
158b488991c
hex53935a37c

22434653052 has 96 divisors (see below), whose sum is σ = 66544934400. Its totient is φ = 6402969216.

The previous prime is 22434653039. The next prime is 22434653053. The reversal of 22434653052 is 25035643422.

22434653052 is a `hidden beast` number, since 2 + 2 + 4 + 346 + 5 + 305 + 2 = 666.

It is a super-2 number, since 2×224346530522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22434652998 and 22434653016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22434653053) 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 31 ways as a sum of consecutive naturals, for example, 704899 + ... + 736037.

It is an arithmetic number, because the mean of its divisors is an integer number (693176400).

Almost surely, 222434653052 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 22434653052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33272467200).

22434653052 is an abundant number, since it is smaller than the sum of its proper divisors (44110281348).

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

22434653052 is a wasteful number, since it uses less digits than its factorization.

22434653052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32112 (or 32104 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 22434653052 in words is "twenty-two billion, four hundred thirty-four million, six hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 953 1906 2859 3812 5718 6671 8577 11436 13342 17154 20013 25731 26684 31139 34308 40026 51462 60039 62278 80052 93417 102924 120078 124556 180117 186834 217973 240156 280251 360234 373668 435946 560502 653919 720468 840753 871892 1121004 1307838 1681506 1961757 2615676 3363012 3923514 5885271 7847028 11770542 23541084 29675467 59350934 89026401 118701868 178052802 207728269 267079203 356105604 415456538 534158406 623184807 801237609 830913076 1068316812 1246369614 1602475218 1869554421 2492739228 3204950436 3739108842 5608663263 7478217684 11217326526 22434653052