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204213220 = 22519975113
BaseRepresentation
bin11000010110000…
…00101111100100
3112020021002212121
430023000233210
5404234310340
632132555324
75026532551
oct1413005744
9466232777
10204213220
11a5300462
1258482b44
1333400c33
141d19ba28
1512ddc94a
hexc2c0be4

204213220 has 24 divisors (see below), whose sum is σ = 429146424. Its totient is φ = 81628416.

The previous prime is 204213211. The next prime is 204213239. The reversal of 204213220 is 22312402.

It can be written as a sum of positive squares in 4 ways, for example, as 22071204 + 182142016 = 4698^2 + 13496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204213194 and 204213203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37384 + ... + 42496.

It is an arithmetic number, because the mean of its divisors is an integer number (17881101).

Almost surely, 2204213220 is an apocalyptic number.

204213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204213220 is an abundant number, since it is smaller than the sum of its proper divisors (224933204).

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

204213220 is a wasteful number, since it uses less digits than its factorization.

204213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7119 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 204213220 is about 14290.3191007059. The cubic root of 204213220 is about 588.8815544094.

Adding to 204213220 its reverse (22312402), we get a palindrome (226525622).

The spelling of 204213220 in words is "two hundred four million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1997 3994 5113 7988 9985 10226 19970 20452 25565 39940 51130 102260 10210661 20421322 40842644 51053305 102106610 204213220