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420228036 = 223219935857
BaseRepresentation
bin11001000011000…
…010101111000100
31002021201210111100
4121003002233010
51330034244121
6105410540100
713261610424
oct3103025704
91067653440
10420228036
111a62315a8
12b8897630
13690a4757
143db4c484
1526d5c026
hex190c2bc4

420228036 has 36 divisors (see below), whose sum is σ = 1062957532. Its totient is φ = 139981824.

The previous prime is 420228023. The next prime is 420228037. The reversal of 420228036 is 630822024.

It can be written as a sum of positive squares in 2 ways, for example, as 359481600 + 60746436 = 18960^2 + 7794^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (420228037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68820 + ... + 74676.

Almost surely, 2420228036 is an apocalyptic number.

It is an amenable number.

420228036 is an abundant number, since it is smaller than the sum of its proper divisors (642729496).

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

420228036 is a wasteful number, since it uses less digits than its factorization.

420228036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 420228036 is about 20499.4642856832. The cubic root of 420228036 is about 749.0227485258.

The spelling of 420228036 in words is "four hundred twenty million, two hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1993 3986 5857 5979 7972 11714 11958 17571 17937 23428 23916 35142 35874 52713 70284 71748 105426 210852 11673001 23346002 35019003 46692004 70038006 105057009 140076012 210114018 420228036