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22572641000 = 2353713248051
BaseRepresentation
bin10101000001011011…
…110010101011101000
32011021010101222020202
4111001123302223220
5332212044003000
614211510011332
71426241165660
oct250133625350
964233358222
1022572641000
119633738308
12445b646b48
13218968ba10
141141c451a0
158c1a44dd5
hex5416f2ae8

22572641000 has 128 divisors (see below), whose sum is σ = 65009468160. Its totient is φ = 7143840000.

The previous prime is 22572640973. The next prime is 22572641009. The reversal of 22572641000 is 14627522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22572641009) 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 31 ways as a sum of consecutive naturals, for example, 33026 + ... + 215025.

It is an arithmetic number, because the mean of its divisors is an integer number (507886470).

Almost surely, 222572641000 is an apocalyptic number.

22572641000 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 22572641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32504734080).

22572641000 is an abundant number, since it is smaller than the sum of its proper divisors (42436827160).

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

22572641000 is a wasteful number, since it uses less digits than its factorization.

22572641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248092 (or 248078 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 22572641000 in words is "twenty-two billion, five hundred seventy-two million, six hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 248051 496102 992204 1240255 1736357 1984408 2480510 3224663 3472714 4961020 6201275 6449326 6945428 8681785 9922040 12402550 12898652 13890856 16123315 17363570 22572641 24805100 25797304 31006375 32246630 34727140 43408925 45145282 49610200 62012750 64493260 69454280 80616575 86817850 90290564 112863205 124025500 128986520 161233150 173635700 180581128 217044625 225726410 248051000 322466300 347271400 403082875 434089250 451452820 564316025 644932600 806165750 868178500 902905640 1128632050 1612331500 1736357000 2257264100 2821580125 3224663000 4514528200 5643160250 11286320500 22572641000