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122997336 = 2337111931113
BaseRepresentation
bin1110101010011…
…00101001011000
322120102220121220
413111030221120
5222441403321
620112132040
73022313550
oct725145130
9276386556
10122997336
11634797a0
1235237020
131c6362b7
141249a160
15abe89c6
hex754ca58

122997336 has 256 divisors, whose sum is σ = 420249600. Its totient is φ = 29030400.

The previous prime is 122997331. The next prime is 122997383. The reversal of 122997336 is 633799221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122997331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088416 + ... + 1088528.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 2122997336 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 122997336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210124800).

122997336 is an abundant number, since it is smaller than the sum of its proper divisors (297252264).

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

122997336 is a wasteful number, since it uses less digits than its factorization.

122997336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 122997336 is about 11090.4164033638. The cubic root of 122997336 is about 497.3153929005.

The spelling of 122997336 in words is "one hundred twenty-two million, nine hundred ninety-seven thousand, three hundred thirty-six".