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122408468 = 2273136863
BaseRepresentation
bin1110100101111…
…00111000010100
322112022222211222
413102330320110
5222314032333
620051345512
73014312000
oct722747024
9275288758
10122408468
1163107326
1234bb2298
131c48b260
1412385700
15ab2e298
hex74bce14

122408468 has 48 divisors (see below), whose sum is σ = 269068800. Its totient is φ = 48418272.

The previous prime is 122408387. The next prime is 122408477. The reversal of 122408468 is 864804221.

It is a congruent number.

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, 14405 + ... + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (5605600).

Almost surely, 2122408468 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 122408468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134534400).

122408468 is an abundant number, since it is smaller than the sum of its proper divisors (146660332).

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

122408468 is a wasteful number, since it uses less digits than its factorization.

122408468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6901 (or 6885 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 122408468 is about 11063.8360436153. The cubic root of 122408468 is about 496.5204658539.

The spelling of 122408468 in words is "one hundred twenty-two million, four hundred eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 2548 4459 6863 8918 13726 17836 27452 48041 89219 96082 178438 192164 336287 356876 624533 672574 1249066 1345148 2354009 2498132 4371731 4708018 8743462 9416036 17486924 30602117 61204234 122408468