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221348740 = 22557719181
BaseRepresentation
bin11010011000110…
…00001110000100
3120102111200101111
431030120032010
5423131124430
633544134404
75325301414
oct1514301604
9512450344
10221348740
11103a44648
1262167404
1336b205b2
142157c644
1514674c2a
hexd318384

221348740 has 24 divisors (see below), whose sum is σ = 465662232. Its totient is φ = 88381440.

The previous prime is 221348731. The next prime is 221348747. The reversal of 221348740 is 47843122.

It can be written as a sum of positive squares in 4 ways, for example, as 116122176 + 105226564 = 10776^2 + 10258^2 .

It is not an unprimeable number, because it can be changed into a prime (221348747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950 + ... + 21130.

It is an arithmetic number, because the mean of its divisors is an integer number (19402593).

Almost surely, 2221348740 is an apocalyptic number.

221348740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221348740 is an abundant number, since it is smaller than the sum of its proper divisors (244313492).

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

221348740 is a wasteful number, since it uses less digits than its factorization.

221348740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19767 (or 19765 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 221348740 is about 14877.7935192017. The cubic root of 221348740 is about 604.9122109260.

The spelling of 221348740 in words is "two hundred twenty-one million, three hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 577 1154 2308 2885 5770 11540 19181 38362 76724 95905 191810 383620 11067437 22134874 44269748 55337185 110674370 221348740