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22512113532 = 223243125911551
BaseRepresentation
bin10100111101110100…
…111001011101111100
32011002220111212011200
4110331310321131330
5332101100113112
614201504415500
71424604544026
oct247564713574
964086455150
1022512113532
119602557107
124443317590
132179c8894c
141137bab016
158bb58acdc
hex53dd3977c

22512113532 has 72 divisors (see below), whose sum is σ = 58280302080. Its totient is φ = 7323069600.

The previous prime is 22512113497. The next prime is 22512113543. The reversal of 22512113532 is 23531121522.

22512113532 is a `hidden beast` number, since 2 + 2 + 5 + 12 + 113 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22512113496 and 22512113505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1943157 + ... + 1954707.

It is an arithmetic number, because the mean of its divisors is an integer number (809448640).

Almost surely, 222512113532 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 22512113532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29140151040).

22512113532 is an abundant number, since it is smaller than the sum of its proper divisors (35768188548).

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

22512113532 is a wasteful number, since it uses less digits than its factorization.

22512113532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12863 (or 12858 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The spelling of 22512113532 in words is "twenty-two billion, five hundred twelve million, one hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1259 1548 2518 3777 5036 7554 11331 11551 15108 22662 23102 34653 45324 46204 54137 69306 103959 108274 138612 162411 207918 216548 324822 415836 487233 496693 649644 974466 993386 1490079 1948932 1986772 2980158 4470237 5960316 8940474 14542709 17880948 29085418 43628127 58170836 87256254 130884381 174512508 261768762 523537524 625336487 1250672974 1876009461 2501345948 3752018922 5628028383 7504037844 11256056766 22512113532