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122275956 = 223111496217
BaseRepresentation
bin1110100100111…
…00100001110100
322112002021002010
413102130201310
5222300312311
620044444220
73013220445
oct722344164
9275067063
10122275956
1163026810
1234b49670
131c442b4a
141234d2cc
15ab04da6
hex749c874

122275956 has 48 divisors (see below), whose sum is σ = 313387200. Its totient is φ = 36798720.

The previous prime is 122275931. The next prime is 122275973. The reversal of 122275956 is 659572221.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16560 + ... + 22776.

It is an arithmetic number, because the mean of its divisors is an integer number (6528900).

Almost surely, 2122275956 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 122275956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156693600).

122275956 is an abundant number, since it is smaller than the sum of its proper divisors (191111244).

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

122275956 is a wasteful number, since it uses less digits than its factorization.

122275956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6382 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 122275956 is about 11057.8459023446. The cubic root of 122275956 is about 496.3412334931.

The spelling of 122275956 in words is "one hundred twenty-two million, two hundred seventy-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 4917 6217 6556 9834 12434 18651 19668 24868 37302 68387 74604 136774 205161 273548 410322 820644 926333 1852666 2778999 3705332 5557998 10189663 11115996 20379326 30568989 40758652 61137978 122275956