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122280648 = 23374316927
BaseRepresentation
bin1110100100111…
…01101011001000
322112002111111220
413102131223020
5222300440043
620044522040
73013240230
oct722355310
9275074456
10122280648
116302a296
1234b50320
131c445019
1412350cc0
15ab06483
hex749dac8

122280648 has 64 divisors (see below), whose sum is σ = 357519360. Its totient is φ = 34122816.

The previous prime is 122280629. The next prime is 122280667. The reversal of 122280648 is 846082221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122280629) and next prime (122280667).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240 + ... + 15687.

It is an arithmetic number, because the mean of its divisors is an integer number (5586240).

Almost surely, 2122280648 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 122280648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178759680).

122280648 is an abundant number, since it is smaller than the sum of its proper divisors (235238712).

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

122280648 is a wasteful number, since it uses less digits than its factorization.

122280648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16986 (or 16982 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 122280648 is about 11058.0580573625. The cubic root of 122280648 is about 496.3475819837.

The spelling of 122280648 in words is "one hundred twenty-two million, two hundred eighty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 16927 33854 50781 67708 101562 118489 135416 203124 236978 355467 406248 473956 710934 727861 947912 1421868 1455722 2183583 2843736 2911444 4367166 5095027 5822888 8734332 10190054 15285081 17468664 20380108 30570162 40760216 61140324 122280648