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420164200 = 23522100821
BaseRepresentation
bin11001000010110…
…011001001101000
31002021121112221001
4121002303021220
51330030223300
6105405324344
713261223341
oct3102631150
91067545831
10420164200
111a6198645
12b88666b4
1369081691
143db330c8
1526d4816a
hex190b3268

420164200 has 24 divisors (see below), whose sum is σ = 976882230. Its totient is φ = 168065600.

The previous prime is 420164189. The next prime is 420164203. The reversal of 420164200 is 2461024.

It can be written as a sum of positive squares in 3 ways, for example, as 367949124 + 52215076 = 19182^2 + 7226^2 .

It is not an unprimeable number, because it can be changed into a prime (420164203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1050211 + ... + 1050610.

Almost surely, 2420164200 is an apocalyptic number.

420164200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420164200 is an abundant number, since it is smaller than the sum of its proper divisors (556718030).

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

420164200 is a wasteful number, since it uses less digits than its factorization.

420164200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100837 (or 2100828 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 420164200 is about 20497.9072102495. The cubic root of 420164200 is about 748.9848190895.

The spelling of 420164200 in words is "four hundred twenty million, one hundred sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2100821 4201642 8403284 10504105 16806568 21008210 42016420 52520525 84032840 105041050 210082100 420164200