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122268288 = 273318407
BaseRepresentation
bin1110100100110…
…10101010000000
322112001212120010
413102122222000
5222300041123
620044344520
73013156212
oct722325200
9275055503
10122268288
1163020a7a
1234b45140
131c43c4cc
141234a5b2
15ab02993
hex749aa80

122268288 has 32 divisors (see below), whose sum is σ = 324776160. Its totient is φ = 40755968.

The previous prime is 122268259. The next prime is 122268323. The reversal of 122268288 is 882862221.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 158820 + ... + 159587.

It is an arithmetic number, because the mean of its divisors is an integer number (10149255).

Almost surely, 2122268288 is an apocalyptic number.

It is an amenable number.

122268288 is an abundant number, since it is smaller than the sum of its proper divisors (202507872).

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

122268288 is an equidigital number, since it uses as much as digits as its factorization.

122268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318424 (or 318412 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 122268288 is about 11057.4991747682. The cubic root of 122268288 is about 496.3308579887.

The spelling of 122268288 in words is "one hundred twenty-two million, two hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 318407 636814 955221 1273628 1910442 2547256 3820884 5094512 7641768 10189024 15283536 20378048 30567072 40756096 61134144 122268288