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221564130 = 235193112539
BaseRepresentation
bin11010011010011…
…00110011100010
3120102220121211220
431031030303202
5423210023010
633552515510
75330156364
oct1515146342
9512817756
10221564130
11104081457
126224bb96
1336b97648
14215d6d34
15146b8970
hexd34cce2

221564130 has 64 divisors (see below), whose sum is σ = 577843200. Its totient is φ = 54164160.

The previous prime is 221564117. The next prime is 221564159. The reversal of 221564130 is 31465122.

221564130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221564130.

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, 11401 + ... + 23939.

It is an arithmetic number, because the mean of its divisors is an integer number (9028800).

Almost surely, 2221564130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221564130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288921600).

221564130 is an abundant number, since it is smaller than the sum of its proper divisors (356279070).

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

221564130 is a wasteful number, since it uses less digits than its factorization.

221564130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12599.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 221564130 is about 14885.0303997002. The cubic root of 221564130 is about 605.1083566136.

The spelling of 221564130 in words is "two hundred twenty-one million, five hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 8835 12539 17670 25078 37617 62695 75234 125390 188085 238241 376170 388709 476482 714723 777418 1166127 1191205 1429446 1943545 2332254 2382410 3573615 3887090 5830635 7147230 7385471 11661270 14770942 22156413 36927355 44312826 73854710 110782065 221564130