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22404271020 = 223523313671427
BaseRepresentation
bin10100110111011001…
…100000101110101100
32010211101120220001120
4110313121200232230
5331340443133040
614143053140540
71422125106255
oct246731405654
963741526046
1022404271020
11955769946a
12441318a750
13216082a601
141127737b2c
158b1d877d0
hex537660bac

22404271020 has 192 divisors, whose sum is σ = 67802628096. Its totient is φ = 5511432960.

The previous prime is 22404270923. The next prime is 22404271033. The reversal of 22404271020 is 2017240422.

It is a super-2 number, since 2×224042710202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15699547 + ... + 15700973.

It is an arithmetic number, because the mean of its divisors is an integer number (353138688).

Almost surely, 222404271020 is an apocalyptic number.

22404271020 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 22404271020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33901314048).

22404271020 is an abundant number, since it is smaller than the sum of its proper divisors (45398357076).

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

22404271020 is a wasteful number, since it uses less digits than its factorization.

22404271020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The spelling of 22404271020 in words is "twenty-two billion, four hundred four million, two hundred seventy-one thousand, twenty".