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27220144 = 247475171
BaseRepresentation
bin110011111010…
…1100010110000
31220012221000111
41213311202300
523432021034
62411231104
7450240010
oct147654260
956187014
1027220144
1114401996
129148494
1358408c3
143887c40
1525ca364
hex19f58b0

27220144 has 40 divisors (see below), whose sum is σ = 61567488. Its totient is φ = 11415360.

The previous prime is 27220129. The next prime is 27220147. The reversal of 27220144 is 44102272.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27220147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2679 + ... + 7849.

Almost surely, 227220144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30783744).

27220144 is an abundant number, since it is smaller than the sum of its proper divisors (34347344).

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

27220144 is a wasteful number, since it uses less digits than its factorization.

27220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 27220144 is about 5217.2927845771. The cubic root of 27220144 is about 300.8131421563.

The spelling of 27220144 in words is "twenty-seven million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5171 5264 10342 20684 36197 41368 72394 82736 144788 243037 289576 486074 579152 972148 1701259 1944296 3402518 3888592 6805036 13610072 27220144