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122344680 = 23356715217
BaseRepresentation
bin1110100101011…
…01010011101000
322112012202100110
413102231103220
5222310012210
620050134320
73013625013
oct722552350
9275182313
10122344680
1163073407
1234b813a0
131c468203
141236a37a
15ab1a420
hex74ad4e8

122344680 has 64 divisors (see below), whose sum is σ = 372536640. Its totient is φ = 32136192.

The previous prime is 122344661. The next prime is 122344709. The reversal of 122344680 is 86443221.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 432 + ... + 15648.

It is an arithmetic number, because the mean of its divisors is an integer number (5820885).

Almost surely, 2122344680 is an apocalyptic number.

122344680 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 122344680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186268320).

122344680 is an abundant number, since it is smaller than the sum of its proper divisors (250191960).

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

122344680 is a wasteful number, since it uses less digits than its factorization.

122344680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15298 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 122344680 is about 11060.9529426718. The cubic root of 122344680 is about 496.4342039825.

The spelling of 122344680 in words is "one hundred twenty-two million, three hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 15217 30434 45651 60868 76085 91302 121736 152170 182604 228255 304340 365208 456510 608680 913020 1019539 1826040 2039078 3058617 4078156 5097695 6117234 8156312 10195390 12234468 15293085 20390780 24468936 30586170 40781560 61172340 122344680