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122366104 = 2373773809
BaseRepresentation
bin1110100101100…
…10100010011000
322112020211201221
413102302202120
5222311203404
620050421424
73014044330
oct722624230
9275224657
10122366104
1163088513
1234b91874
131c474ba3
14123740c0
15ab21954
hex74b2898

122366104 has 64 divisors (see below), whose sum is σ = 273326400. Its totient is φ = 50264064.

The previous prime is 122366093. The next prime is 122366107. The reversal of 122366104 is 401663221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122366107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150852 + ... + 151660.

It is an arithmetic number, because the mean of its divisors is an integer number (4270725).

Almost surely, 2122366104 is an apocalyptic number.

122366104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122366104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136663200).

122366104 is an abundant number, since it is smaller than the sum of its proper divisors (150960296).

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

122366104 is a wasteful number, since it uses less digits than its factorization.

122366104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 122366104 is about 11061.9213520979. The cubic root of 122366104 is about 496.4631794575.

The spelling of 122366104 in words is "one hundred twenty-two million, three hundred sixty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 37 56 73 74 146 148 259 292 296 511 518 584 809 1022 1036 1618 2044 2072 2701 3236 4088 5402 5663 6472 10804 11326 18907 21608 22652 29933 37814 45304 59057 59866 75628 118114 119732 151256 209531 236228 239464 413399 419062 472456 826798 838124 1653596 1676248 2185109 3307192 4370218 8740436 15295763 17480872 30591526 61183052 122366104