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122332540 = 225114711831
BaseRepresentation
bin1110100101010…
…10010101111100
322112012010200211
413102222111330
5222304120130
620050002204
73013544431
oct722522574
9275163624
10122332540
1163065280
1234b76364
131c462825
1412365b88
15ab16a2a
hex74aa57c

122332540 has 48 divisors (see below), whose sum is σ = 286239744. Its totient is φ = 43534400.

The previous prime is 122332537. The next prime is 122332559. The reversal of 122332540 is 45233221.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 4425 + ... + 16255.

It is an arithmetic number, because the mean of its divisors is an integer number (5963328).

Almost surely, 2122332540 is an apocalyptic number.

122332540 is a gapful number since it is divisible by the number (10) 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 122332540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143119872).

122332540 is an abundant number, since it is smaller than the sum of its proper divisors (163907204).

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

122332540 is a wasteful number, since it uses less digits than its factorization.

122332540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11898 (or 11896 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 122332540 is about 11060.4041517478. The cubic root of 122332540 is about 496.4177834059.

Adding to 122332540 its reverse (45233221), we get a palindrome (167565761).

The spelling of 122332540 in words is "one hundred twenty-two million, three hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 11831 23662 47324 59155 118310 130141 236620 260282 520564 556057 650705 1112114 1301410 2224228 2602820 2780285 5560570 6116627 11121140 12233254 24466508 30583135 61166270 122332540