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122275764 = 2233131747109
BaseRepresentation
bin1110100100111…
…00011110110100
322112002020211000
413102130132310
5222300311024
620044443300
73013220052
oct722343664
9275066730
10122275764
1163026656
1234b49530
131c442a30
141234d1d2
15ab04cc9
hex749c7b4

122275764 has 192 divisors, whose sum is σ = 372556800. Its totient is φ = 34338816.

The previous prime is 122275763. The next prime is 122275771. The reversal of 122275764 is 467572221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122275763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121742 + ... + 1121850.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2122275764 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 122275764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

122275764 is an abundant number, since it is smaller than the sum of its proper divisors (250281036).

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

122275764 is a wasteful number, since it uses less digits than its factorization.

122275764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 122275764 is about 11057.8372207227. The cubic root of 122275764 is about 496.3409737048.

The spelling of 122275764 in words is "one hundred twenty-two million, two hundred seventy-five thousand, seven hundred sixty-four".