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122062164 = 223710631367
BaseRepresentation
bin1110100011010…
…00010101010100
322111200101210220
413101220111110
5222221442124
620040114340
73011340240
oct721502524
9274611726
10122062164
11629a0124
1234a659b0
131c399743
14122d5420
15aab1879
hex7468554

122062164 has 48 divisors (see below), whose sum is σ = 326043648. Its totient is φ = 34816608.

The previous prime is 122062163. The next prime is 122062177. The reversal of 122062164 is 461260221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122062163) 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, 88609 + ... + 89975.

It is an arithmetic number, because the mean of its divisors is an integer number (6792576).

Almost surely, 2122062164 is an apocalyptic number.

122062164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122062164 is an abundant number, since it is smaller than the sum of its proper divisors (203981484).

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

122062164 is a wasteful number, since it uses less digits than its factorization.

122062164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 122062164 is about 11048.1746908709. The cubic root of 122062164 is about 496.0517906811.

The spelling of 122062164 in words is "one hundred twenty-two million, sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1063 1367 2126 2734 3189 4101 4252 5468 6378 7441 8202 9569 12756 14882 16404 19138 22323 28707 29764 38276 44646 57414 89292 114828 1453121 2906242 4359363 5812484 8718726 10171847 17437452 20343694 30515541 40687388 61031082 122062164