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221334204 = 2237131571291
BaseRepresentation
bin11010011000101…
…00101010111100
3120102110221110010
431030110222330
5423130143304
633543543220
75325211140
oct1514245274
9512427403
10221334204
11103a34733
126215ab10
1336b16ab0
1421577220
1514670789
hexd314abc

221334204 has 96 divisors (see below), whose sum is σ = 640170496. Its totient is φ = 57957120.

The previous prime is 221334187. The next prime is 221334209. The reversal of 221334204 is 402433122.

221334204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221334209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170799 + ... + 172089.

Almost surely, 2221334204 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 221334204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320085248).

221334204 is an abundant number, since it is smaller than the sum of its proper divisors (418836292).

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

221334204 is a wasteful number, since it uses less digits than its factorization.

221334204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 221334204 is about 14877.3049978818. The cubic root of 221334204 is about 604.8989690821.

Adding to 221334204 its reverse (402433122), we get a palindrome (623767326).

The spelling of 221334204 in words is "two hundred twenty-one million, three hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 157 182 273 314 364 471 546 628 942 1092 1099 1291 1884 2041 2198 2582 3297 3873 4082 4396 5164 6123 6594 7746 8164 9037 12246 13188 14287 15492 16783 18074 24492 27111 28574 33566 36148 42861 50349 54222 57148 67132 85722 100698 108444 117481 171444 201396 202687 234962 352443 405374 469924 608061 704886 810748 1216122 1409772 1418809 2432244 2634931 2837618 4256427 5269862 5675236 7904793 8512854 10539724 15809586 17025708 18444517 31619172 36889034 55333551 73778068 110667102 221334204