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204421212 = 22335371503
BaseRepresentation
bin11000010111100…
…11100001011100
3112020122200012000
430023303201130
5404312434322
632141242300
75031360132
oct1413634134
9466580160
10204421212
11a5432756
1258563390
13334747c8
141d213752
1512e2e3ac
hexc2f385c

204421212 has 96 divisors (see below), whose sum is σ = 548674560. Its totient is φ = 65782080.

The previous prime is 204421199. The next prime is 204421237. The reversal of 204421212 is 212124402.

204421212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2044212123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406153 + ... + 406655.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2204421212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204421212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

204421212 is an abundant number, since it is smaller than the sum of its proper divisors (344253348).

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

204421212 is a wasteful number, since it uses less digits than its factorization.

204421212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204421212 is about 14297.5946228728. The cubic root of 204421212 is about 589.0814126633.

Adding to 204421212 its reverse (212124402), we get a palindrome (416545614).

The spelling of 204421212 in words is "two hundred four million, four hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 71 106 108 142 159 212 213 284 318 426 477 503 636 639 852 954 1006 1278 1431 1509 1908 1917 2012 2556 2862 3018 3763 3834 4527 5724 6036 7526 7668 9054 11289 13581 15052 18108 22578 26659 27162 33867 35713 45156 53318 54324 67734 71426 79977 101601 106636 107139 135468 142852 159954 203202 214278 239931 319908 321417 406404 428556 479862 642834 719793 959724 964251 1285668 1439586 1892789 1928502 2879172 3785578 3857004 5678367 7571156 11356734 17035101 22713468 34070202 51105303 68140404 102210606 204421212