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122322996 = 22323397861
BaseRepresentation
bin1110100101010…
…00000000110100
322112011122121100
413102220000310
5222303313441
620045450100
73013504545
oct722500064
9275148540
10122322996
1163059094
1234b70930
131c45b393
14123624cc
15ab13cb6
hex74a8034

122322996 has 18 divisors (see below), whose sum is σ = 309205442. Its totient is φ = 40774320.

The previous prime is 122322979. The next prime is 122322997. The reversal of 122322996 is 699223221.

It can be written as a sum of positive squares in only one way, i.e., 109620900 + 12702096 = 10470^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3397861 = 122322996 / (1 + 2 + 2 + 3 + 2 + 2 + 9 + 9 + 6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122322996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122322997) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1698895 + ... + 1698966.

Almost surely, 2122322996 is an apocalyptic number.

It is an amenable number.

122322996 is an abundant number, since it is smaller than the sum of its proper divisors (186882446).

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

122322996 is a wasteful number, since it uses less digits than its factorization.

122322996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397871 (or 3397866 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 122322996 is about 11059.9726943605. The cubic root of 122322996 is about 496.4048734188.

The spelling of 122322996 in words is "one hundred twenty-two million, three hundred twenty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3397861 6795722 10193583 13591444 20387166 30580749 40774332 61161498 122322996