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122275650 = 235271011153
BaseRepresentation
bin1110100100111…
…00011101000010
322112002020122210
413102130131002
5222300310100
620044442550
73013216530
oct722343502
9275066583
10122275650
1163026562
1234b49456
131c442973
141234d150
15ab04c50
hex749c742

122275650 has 96 divisors (see below), whose sum is σ = 350299008. Its totient is φ = 27648000.

The previous prime is 122275649. The next prime is 122275663. The reversal of 122275650 is 56572221.

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

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 47 ways as a sum of consecutive naturals, for example, 105474 + ... + 106626.

It is an arithmetic number, because the mean of its divisors is an integer number (3648948).

Almost surely, 2122275650 is an apocalyptic number.

122275650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122275650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175149504).

122275650 is an abundant number, since it is smaller than the sum of its proper divisors (228023358).

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

122275650 is a wasteful number, since it uses less digits than its factorization.

122275650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 122275650 is about 11057.8320660064. The cubic root of 122275650 is about 496.3408194554.

The spelling of 122275650 in words is "one hundred twenty-two million, two hundred seventy-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 101 105 150 175 202 210 303 350 505 525 606 707 1010 1050 1153 1414 1515 2121 2306 2525 3030 3459 3535 4242 5050 5765 6918 7070 7575 8071 10605 11530 15150 16142 17295 17675 21210 24213 28825 34590 35350 40355 48426 53025 57650 80710 86475 106050 116453 121065 172950 201775 232906 242130 349359 403550 582265 605325 698718 815171 1164530 1210650 1630342 1746795 2445513 2911325 3493590 4075855 4891026 5822650 8151710 8733975 12227565 17467950 20379275 24455130 40758550 61137825 122275650