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221542380 = 223251230791
BaseRepresentation
bin11010011010001…
…11011111101100
3120102212112000100
431031013133230
5423203324010
633552231100
75330036103
oct1515073754
9512775010
10221542380
11104067084
126223b490
1336b8a787
14215cd03a
15146b22c0
hexd3477ec

221542380 has 36 divisors (see below), whose sum is σ = 672012432. Its totient is φ = 59077920.

The previous prime is 221542369. The next prime is 221542381. The reversal of 221542380 is 83245122.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2215423802 = 98162052272128800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221542381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 615216 + ... + 615575.

It is an arithmetic number, because the mean of its divisors is an integer number (18667012).

Almost surely, 2221542380 is an apocalyptic number.

221542380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221542380 is an abundant number, since it is smaller than the sum of its proper divisors (450470052).

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

221542380 is a wasteful number, since it uses less digits than its factorization.

221542380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230806 (or 1230801 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 221542380 is about 14884.2997819850. The cubic root of 221542380 is about 605.0885556687.

The spelling of 221542380 in words is "two hundred twenty-one million, five hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1230791 2461582 3692373 4923164 6153955 7384746 11077119 12307910 14769492 18461865 22154238 24615820 36923730 44308476 55385595 73847460 110771190 221542380