Search a number
-
+
221220132 = 223712372129
BaseRepresentation
bin11010010111110…
…00110100100100
3120102021010222020
431023320310210
5423113021012
633541303140
75324224440
oct1513706444
9512233866
10221220132
11103966a61
1262104ab0
1336aa6bb3
1421547820
151464ba8c
hexd2f8d24

221220132 has 48 divisors (see below), whose sum is σ = 590674560. Its totient is φ = 63124992.

The previous prime is 221220127. The next prime is 221220137. The reversal of 221220132 is 231022122.

It is a happy number.

221220132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221220127) and next prime (221220137).

It is not an unprimeable number, because it can be changed into a prime (221220137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102844 + ... + 104972.

It is an arithmetic number, because the mean of its divisors is an integer number (12305720).

Almost surely, 2221220132 is an apocalyptic number.

It is an amenable number.

221220132 is an abundant number, since it is smaller than the sum of its proper divisors (369454428).

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

221220132 is a wasteful number, since it uses less digits than its factorization.

221220132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221220132 is about 14873.4707449203. The cubic root of 221220132 is about 604.7950329055.

Adding to 221220132 its reverse (231022122), we get a palindrome (452242254).

The spelling of 221220132 in words is "two hundred twenty-one million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1237 2129 2474 3711 4258 4948 6387 7422 8516 8659 12774 14844 14903 17318 25548 25977 29806 34636 44709 51954 59612 89418 103908 178836 2633573 5267146 7900719 10534292 15801438 18435011 31602876 36870022 55305033 73740044 110610066 221220132