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22154113000 = 2353731571933
BaseRepresentation
bin10100101000011111…
…001110111111101000
32010011221212112202201
4110220133032333220
5330332423104000
614102155305544
71412666565505
oct245037167750
963157775681
1022154113000
119439467aa8
12436344b2b4
132120a61006
14110241a4ac
15899e2196a
hex5287cefe8

22154113000 has 128 divisors (see below), whose sum is σ = 52912847520. Its totient is φ = 8680089600.

The previous prime is 22154112991. The next prime is 22154113013. The reversal of 22154113000 is 31145122.

It can be written as a sum of positive squares in 16 ways, for example, as 815330916 + 21338782084 = 28554^2 + 146078^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11460034 + ... + 11461966.

Almost surely, 222154113000 is an apocalyptic number.

22154113000 is a gapful number since it is divisible by the number (20) 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 22154113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456423760).

22154113000 is an abundant number, since it is smaller than the sum of its proper divisors (30758734520).

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

22154113000 is a wasteful number, since it uses less digits than its factorization.

22154113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 22154113000 its reverse (31145122), we get a palindrome (22185258122).

The spelling of 22154113000 in words is "twenty-two billion, one hundred fifty-four million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 157 200 250 292 314 365 500 584 628 730 785 1000 1256 1460 1570 1825 1933 2920 3140 3650 3866 3925 6280 7300 7732 7850 9125 9665 11461 14600 15464 15700 18250 19330 19625 22922 31400 36500 38660 39250 45844 48325 57305 73000 77320 78500 91688 96650 114610 141109 157000 193300 229220 241625 282218 286525 303481 386600 458440 483250 564436 573050 606962 705545 966500 1128872 1146100 1213924 1411090 1432625 1517405 1933000 2292200 2427848 2822180 2865250 3034810 3527725 5644360 5730500 6069620 7055450 7587025 11461000 12139240 14110900 15174050 17638625 22154113 28221800 30348100 35277250 37935125 44308226 60696200 70554500 75870250 88616452 110770565 141109000 151740500 177232904 221541130 303481000 443082260 553852825 886164520 1107705650 2215411300 2769264125 4430822600 5538528250 11077056500 22154113000