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221880064 = 287123817
BaseRepresentation
bin11010011100110…
…01111100000000
3120110111200020011
431032121330000
5423300130224
634003354304
75332643440
oct1516317400
9513450204
10221880064
1110427785a
1262382994
1336c783a3
142167a120
151472c394
hexd399f00

221880064 has 36 divisors (see below), whose sum is σ = 506167984. Its totient is φ = 95090688.

The previous prime is 221880059. The next prime is 221880079. The reversal of 221880064 is 460088122.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60117 + ... + 63700.

Almost surely, 2221880064 is an apocalyptic number.

It is an amenable number.

221880064 is an abundant number, since it is smaller than the sum of its proper divisors (284287920).

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

221880064 is an equidigital number, since it uses as much as digits as its factorization.

221880064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123840 (or 123826 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 221880064 is about 14895.6390933723. The cubic root of 221880064 is about 605.3958332142.

The spelling of 221880064 in words is "two hundred twenty-one million, eight hundred eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 123817 247634 495268 866719 990536 1733438 1981072 3466876 3962144 6933752 7924288 13867504 15848576 27735008 31697152 55470016 110940032 221880064