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22257383820 = 22357234156197
BaseRepresentation
bin10100101110101001…
…001011100110001100
32010110011012020200220
4110232221023212030
5331040342240240
614120324551340
71415362432560
oct245651134614
963404166626
1022257383820
119491792991
124391b52550
13213927b4c9
14111201d6a0
158a40205d0
hex52ea4b98c

22257383820 has 192 divisors, whose sum is σ = 76134352896. Its totient is φ = 4747438080.

The previous prime is 22257383803. The next prime is 22257383851. The reversal of 22257383820 is 2838375222.

It is a happy number.

It is a super-2 number, since 2×222573838202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 367962 + ... + 424158.

It is an arithmetic number, because the mean of its divisors is an integer number (396533088).

Almost surely, 222257383820 is an apocalyptic number.

22257383820 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 22257383820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38067176448).

22257383820 is an abundant number, since it is smaller than the sum of its proper divisors (53876969076).

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

22257383820 is a wasteful number, since it uses less digits than its factorization.

22257383820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56280 (or 56278 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 22257383820 in words is "twenty-two billion, two hundred fifty-seven million, three hundred eighty-three thousand, eight hundred twenty".