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122275146 = 23719732099
BaseRepresentation
bin1110100100111…
…00010101001010
322112002012222010
413102130111022
5222300301041
620044440350
73013215210
oct722342512
9275065863
10122275146
1163026144
1234b490b6
131c442676
141234ccb0
15ab04a16
hex749c54a

122275146 has 64 divisors (see below), whose sum is σ = 298368000. Its totient is φ = 32628096.

The previous prime is 122275123. The next prime is 122275147. The reversal of 122275146 is 641572221.

It is a super-2 number, since 2×1222751462 = 29902422658642632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122275147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 57205 + ... + 59303.

It is an arithmetic number, because the mean of its divisors is an integer number (4662000).

Almost surely, 2122275146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122275146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184000).

122275146 is an abundant number, since it is smaller than the sum of its proper divisors (176092854).

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

122275146 is a wasteful number, since it uses less digits than its factorization.

122275146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203.

The product of its digits is 6720, while the sum is 30.

The square root of 122275146 is about 11057.8092767058. The cubic root of 122275146 is about 496.3401375096.

The spelling of 122275146 in words is "one hundred twenty-two million, two hundred seventy-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 73 114 133 146 219 266 399 438 511 798 1022 1387 1533 2099 2774 3066 4161 4198 6297 8322 9709 12594 14693 19418 29127 29386 39881 44079 58254 79762 88158 119643 153227 239286 279167 306454 459681 558334 837501 919362 1072589 1675002 2145178 2911313 3217767 5822626 6435534 8733939 17467878 20379191 40758382 61137573 122275146