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221339664 = 2432721319127
BaseRepresentation
bin11010011000101…
…10000000010000
3120102111012221100
431030112000100
5423130332124
633544024400
75325233100
oct1514260020
9512435840
10221339664
11103a38847
1262162100
1336b19420
1421579200
15146721c9
hexd316010

221339664 has 360 divisors, whose sum is σ = 823280640. Its totient is φ = 54867456.

The previous prime is 221339663. The next prime is 221339681. The reversal of 221339664 is 466933122.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221339663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1742769 + ... + 1742895.

Almost surely, 2221339664 is an apocalyptic number.

221339664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221339664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411640320).

221339664 is an abundant number, since it is smaller than the sum of its proper divisors (601940976).

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

221339664 is a wasteful number, since it uses less digits than its factorization.

221339664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 221339664 is about 14877.4884977270. The cubic root of 221339664 is about 604.9039430403.

The spelling of 221339664 in words is "two hundred twenty-one million, three hundred thirty-nine thousand, six hundred sixty-four".