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204112220 = 225137111057
BaseRepresentation
bin11000010101010…
…00000101011100
3112020001222022212
430022220011130
5404223042340
632130455552
75025632234
oct1412500534
9466058285
10204112220
11a5241594
12584345b8
1333396c80
141d172cc4
1512dbca65
hexc2a815c

204112220 has 48 divisors (see below), whose sum is σ = 468151488. Its totient is φ = 74296320.

The previous prime is 204112219. The next prime is 204112229. The reversal of 204112220 is 22211402.

It is a junction number, because it is equal to n+sod(n) for n = 204112195 and 204112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204112229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12932 + ... + 23988.

It is an arithmetic number, because the mean of its divisors is an integer number (9753156).

Almost surely, 2204112220 is an apocalyptic number.

204112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234075744).

204112220 is an abundant number, since it is smaller than the sum of its proper divisors (264039268).

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

204112220 is a wasteful number, since it uses less digits than its factorization.

204112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11150 (or 11148 counting only the distinct ones).

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

The square root of 204112220 is about 14286.7848027469. The cubic root of 204112220 is about 588.7844551699.

Adding to 204112220 its reverse (22211402), we get a palindrome (226323622).

The spelling of 204112220 in words is "two hundred four million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3692 4615 9230 11057 18460 22114 44228 55285 110570 143741 221140 287482 574964 718705 785047 1437410 1570094 2874820 3140188 3925235 7850470 10205611 15700940 20411222 40822444 51028055 102056110 204112220