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22205502200 = 23527103153991
BaseRepresentation
bin10100101011100011…
…010001001011111000
32010022112120101111102
4110223203101023320
5330434102032300
614111232550532
71414162440320
oct245343211370
963275511442
1022205502200
119465477512
1243786b2448
13212b5b481b
141109196280
1589e6c30d5
hex52b8d12f8

22205502200 has 96 divisors (see below), whose sum is σ = 59576424960. Its totient is φ = 7539350400.

The previous prime is 22205502181. The next prime is 22205502203. The reversal of 22205502200 is 220550222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205502203) 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 23 ways as a sum of consecutive naturals, for example, 67205 + ... + 221195.

It is an arithmetic number, because the mean of its divisors is an integer number (620587760).

Almost surely, 222205502200 is an apocalyptic number.

22205502200 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 22205502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29788212480).

22205502200 is an abundant number, since it is smaller than the sum of its proper divisors (37370922760).

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

22205502200 is a wasteful number, since it uses less digits than its factorization.

22205502200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154117 (or 154108 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The spelling of 22205502200 in words is "twenty-two billion, two hundred five million, five hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 103 140 175 200 206 280 350 412 515 700 721 824 1030 1400 1442 2060 2575 2884 3605 4120 5150 5768 7210 10300 14420 18025 20600 28840 36050 72100 144200 153991 307982 615964 769955 1077937 1231928 1539910 2155874 3079820 3849775 4311748 5389685 6159640 7699550 8623496 10779370 15399100 15861073 21558740 26948425 30798200 31722146 43117480 53896850 63444292 79305365 107793700 111027511 126888584 158610730 215587400 222055022 317221460 396526825 444110044 555137555 634442920 793053650 888220088 1110275110 1586107300 2220550220 2775687775 3172214600 4441100440 5551375550 11102751100 22205502200