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122332340 = 225132172129
BaseRepresentation
bin1110100101010…
…10010010110100
322112012010102102
413102222102310
5222304113330
620050001232
73013544024
oct722522264
9275163372
10122332340
1163065109
1234b76218
131c462700
1412365a84
15ab16945
hex74aa4b4

122332340 has 72 divisors (see below), whose sum is σ = 294681240. Its totient is φ = 42491904.

The previous prime is 122332339. The next prime is 122332349. The reversal of 122332340 is 43233221.

It can be written as a sum of positive squares in 12 ways, for example, as 67305616 + 55026724 = 8204^2 + 7418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122332349) 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 23 ways as a sum of consecutive naturals, for example, 56396 + ... + 58524.

It is an arithmetic number, because the mean of its divisors is an integer number (4092795).

Almost surely, 2122332340 is an apocalyptic number.

122332340 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 122332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147340620).

122332340 is an abundant number, since it is smaller than the sum of its proper divisors (172348900).

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

122332340 is a wasteful number, since it uses less digits than its factorization.

122332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 122332340 is about 11060.3951104832. The cubic root of 122332340 is about 496.4175128766.

Adding to 122332340 its reverse (43233221), we get a palindrome (165565561).

The spelling of 122332340 in words is "one hundred twenty-two million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 221 260 338 340 442 676 845 884 1105 1690 2129 2210 2873 3380 4258 4420 5746 8516 10645 11492 14365 21290 27677 28730 36193 42580 55354 57460 72386 110708 138385 144772 180965 276770 359801 361930 470509 553540 719602 723860 941018 1439204 1799005 1882036 2352545 3598010 4705090 6116617 7196020 9410180 12233234 24466468 30583085 61166170 122332340