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22200113100 = 2235211431011549
BaseRepresentation
bin10100101011001110…
…101101011111001100
32010022011102121001010
4110223032231133030
5330431212104400
614110521245220
71414065563544
oct245316553714
963264377033
1022200113100
119462426610
124376933810
13212a4488c9
141108592324
1589deab450
hex52b3ad7cc

22200113100 has 288 divisors, whose sum is σ = 72457862400. Its totient is φ = 5201280000.

The previous prime is 22200113099. The next prime is 22200113123. The reversal of 22200113100 is 131100222.

It is a super-2 number, since 2×222001131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14331126 + ... + 14332674.

It is an arithmetic number, because the mean of its divisors is an integer number (251589800).

Almost surely, 222200113100 is an apocalyptic number.

22200113100 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 22200113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36228931200).

22200113100 is an abundant number, since it is smaller than the sum of its proper divisors (50257749300).

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

22200113100 is a wasteful number, since it uses less digits than its factorization.

22200113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22200113100 its reverse (131100222), we get a palindrome (22331213322).

The spelling of 22200113100 in words is "twenty-two billion, two hundred million, one hundred thirteen thousand, one hundred".