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122082268 = 22711607653
BaseRepresentation
bin1110100011011…
…01001111011100
322111201102101111
413101231033130
5222223113033
620040351404
73011452660
oct721551734
9274642344
10122082268
1162a04240
1234a75564
131c3a5939
14122dc8a0
15aab77cd
hex746d3dc

122082268 has 48 divisors (see below), whose sum is σ = 267208704. Its totient is φ = 47413440.

The previous prime is 122082217. The next prime is 122082271. The reversal of 122082268 is 862280221.

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, 186630 + ... + 187282.

It is an arithmetic number, because the mean of its divisors is an integer number (5566848).

Almost surely, 2122082268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122082268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133604352).

122082268 is an abundant number, since it is smaller than the sum of its proper divisors (145126436).

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

122082268 is a wasteful number, since it uses less digits than its factorization.

122082268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 122082268 is about 11049.0844869609. The cubic root of 122082268 is about 496.0790229193.

The spelling of 122082268 in words is "one hundred twenty-two million, eighty-two thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 607 653 1214 1306 2428 2612 4249 4571 6677 7183 8498 9142 13354 14366 16996 18284 26708 28732 46739 50281 93478 100562 186956 201124 396371 792742 1585484 2774597 4360081 5549194 8720162 11098388 17440324 30520567 61041134 122082268