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122083668 = 22327484459
BaseRepresentation
bin1110100011011…
…01100101010100
322111201111022100
413101231211110
5222223134133
620040402100
73011460030
oct721554524
9274644270
10122083668
1162a052a3
1234a76330
131c3a6475
14122dd1c0
15aab7e13
hex746d954

122083668 has 36 divisors (see below), whose sum is σ = 352686880. Its totient is φ = 34880976.

The previous prime is 122083627. The next prime is 122083711. The reversal of 122083668 is 866380221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241978 + ... + 242481.

Almost surely, 2122083668 is an apocalyptic number.

122083668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122083668 is an abundant number, since it is smaller than the sum of its proper divisors (230603212).

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

122083668 is a wasteful number, since it uses less digits than its factorization.

122083668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484476 (or 484471 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 122083668 is about 11049.1478404445. The cubic root of 122083668 is about 496.0809192033.

It can be divided in two parts, 12208 and 3668, that added together give a square (15876 = 1262).

The spelling of 122083668 in words is "one hundred twenty-two million, eighty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 484459 968918 1453377 1937836 2906754 3391213 4360131 5813508 6782426 8720262 10173639 13564852 17440524 20347278 30520917 40694556 61041834 122083668