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22121022020 = 22537101295973
BaseRepresentation
bin10100100110100001…
…000000001001000100
32010002122121100110212
4110212201000021010
5330300440201040
614055014134552
71412115404366
oct244641001104
963078540425
1022121022020
119421816289
124354351458
132116c46156
1410dbc84d36
15897086d65
hex526840244

22121022020 has 48 divisors (see below), whose sum is σ = 48182199408. Its totient is φ = 8523993600.

The previous prime is 22121022019. The next prime is 22121022029. The reversal of 22121022020 is 2022012122.

It can be written as a sum of positive squares in 8 ways, for example, as 10406856196 + 11714165824 = 102014^2 + 108232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22121021986 and 22121022004.

It is not an unprimeable number, because it can be changed into a prime (22121022029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73247 + ... + 222726.

It is an arithmetic number, because the mean of its divisors is an integer number (1003795821).

Almost surely, 222121022020 is an apocalyptic number.

22121022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121022020 is an abundant number, since it is smaller than the sum of its proper divisors (26061177388).

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

22121022020 is a wasteful number, since it uses less digits than its factorization.

22121022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296120 (or 296118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22121022020 its reverse (2022012122), we get a palindrome (24143034142).

It can be divided in two parts, 2212102 and 2020, that added together give a palindrome (2214122).

The spelling of 22121022020 in words is "twenty-two billion, one hundred twenty-one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 2020 3737 7474 14948 18685 37370 74740 295973 591946 1183892 1479865 2959730 5919460 10951001 21902002 29893273 43804004 54755005 59786546 109510010 119573092 149466365 219020020 298932730 597865460 1106051101 2212102202 4424204404 5530255505 11060511010 22121022020