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221546130 = 235135631009
BaseRepresentation
bin11010011010010…
…00011010010010
3120102212201011020
431031020122102
5423203434010
633552300310
75330053041
oct1515103222
9512781136
10221546130
11104069983
1262241696
1336b8c3b0
14215d0558
15146b3470
hexd348692

221546130 has 64 divisors (see below), whose sum is σ = 574197120. Its totient is φ = 54383616.

The previous prime is 221546111. The next prime is 221546131. The reversal of 221546130 is 31645122.

221546130 is digitally balanced in base 3, 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 221546130.

It is not an unprimeable number, because it can be changed into a prime (221546131) 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, 219066 + ... + 220074.

It is an arithmetic number, because the mean of its divisors is an integer number (8971830).

Almost surely, 2221546130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221546130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287098560).

221546130 is an abundant number, since it is smaller than the sum of its proper divisors (352650990).

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

221546130 is a wasteful number, since it uses less digits than its factorization.

221546130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595.

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

The square root of 221546130 is about 14884.4257531152. The cubic root of 221546130 is about 605.0919697172.

The spelling of 221546130 in words is "two hundred twenty-one million, five hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 563 1009 1126 1689 2018 2815 3027 3378 5045 5630 6054 7319 8445 10090 13117 14638 15135 16890 21957 26234 30270 36595 39351 43914 65585 73190 78702 109785 131170 196755 219570 393510 568067 1136134 1704201 2840335 3408402 5680670 7384871 8521005 14769742 17042010 22154613 36924355 44309226 73848710 110773065 221546130