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2022402100 = 225267729873
BaseRepresentation
bin111100010001011…
…0110100000110100
312012221111200010111
41320202312200310
513120213331400
6532403032404
7101055064015
oct17042664064
95187450114
102022402100
119486586a4
1248536b704
13262cbbc44
1415284b00c
15bc83a3ba
hex788b6834

2022402100 has 36 divisors (see below), whose sum is σ = 4395242124. Its totient is φ = 807738880.

The previous prime is 2022402073. The next prime is 2022402119. The reversal of 2022402100 is 12042202.

It can be written as a sum of positive squares in 6 ways, for example, as 476025124 + 1546376976 = 21818^2 + 39324^2 .

It is a super-2 number, since 2×20224021002 = 8180220508168820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52764 + ... + 82636.

It is an arithmetic number, because the mean of its divisors is an integer number (122090059).

Almost surely, 22022402100 is an apocalyptic number.

2022402100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022402100 is an abundant number, since it is smaller than the sum of its proper divisors (2372840024).

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

2022402100 is a wasteful number, since it uses less digits than its factorization.

2022402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30564 (or 30557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2022402100 is about 44971.1251804978. The cubic root of 2022402100 is about 1264.6077408144.

Adding to 2022402100 its reverse (12042202), we get a palindrome (2034444302).

The spelling of 2022402100 in words is "two billion, twenty-two million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 677 1354 2708 3385 6770 13540 16925 29873 33850 59746 67700 119492 149365 298730 597460 746825 1493650 2987300 20224021 40448042 80896084 101120105 202240210 404480420 505600525 1011201050 2022402100