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122352340 = 225113715031
BaseRepresentation
bin1110100101011…
…11001011010100
322112020010212011
413102233023110
5222310233330
620050234004
73013656235
oct722571324
9275203764
10122352340
1163079140
1234b85904
131c46b846
141236d08c
15ab1c82a
hex74af2d4

122352340 has 48 divisors (see below), whose sum is σ = 287892864. Its totient is φ = 43286400.

The previous prime is 122352337. The next prime is 122352367. The reversal of 122352340 is 43253221.

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, 625 + ... + 15655.

It is an arithmetic number, because the mean of its divisors is an integer number (5997768).

Almost surely, 2122352340 is an apocalyptic number.

122352340 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 122352340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143946432).

122352340 is an abundant number, since it is smaller than the sum of its proper divisors (165540524).

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

122352340 is a wasteful number, since it uses less digits than its factorization.

122352340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15088 (or 15086 counting only the distinct ones).

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

The square root of 122352340 is about 11061.2992003652. The cubic root of 122352340 is about 496.4445643476. Note that the first 3 decimals are identical.

The spelling of 122352340 in words is "one hundred twenty-two million, three hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 15031 30062 60124 75155 150310 165341 300620 330682 556147 661364 826705 1112294 1653410 2224588 2780735 3306820 5561470 6117617 11122940 12235234 24470468 30588085 61176170 122352340