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22202020200 = 23352313732261
BaseRepresentation
bin10100101011010101…
…111111000101101000
32010022022000111002110
4110223111333011220
5330432204121300
614111030202320
71414121025603
oct245325770550
963268014073
1022202020200
119463509428
1243774b33a0
13212a965979
14110892b33a
1589e236550
hex52b57f168

22202020200 has 192 divisors, whose sum is σ = 72968901120. Its totient is φ = 5574528000.

The previous prime is 22202020171. The next prime is 22202020229. The reversal of 22202020200 is 202020222.

It is an interprime number because it is at equal distance from previous prime (22202020171) and next prime (22202020229).

It is a super-2 number, since 2×222020202002 (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 a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672070 + ... + 704330.

It is an arithmetic number, because the mean of its divisors is an integer number (380046360).

Almost surely, 222202020200 is an apocalyptic number.

22202020200 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 22202020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36484450560).

22202020200 is an abundant number, since it is smaller than the sum of its proper divisors (50766880920).

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

22202020200 is a wasteful number, since it uses less digits than its factorization.

22202020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32348 (or 32339 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22202020200 its reverse (202020222), we get a palindrome (22404040422).

The spelling of 22202020200 in words is "twenty-two billion, two hundred two million, twenty thousand, two hundred".