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2275042 = 271121779
BaseRepresentation
bin1000101011011011100010
311021120202211
420223123202
51040300132
6120432334
725223530
oct10533342
94246684
102275042
111314300
129186aa
136186a3
14433150
152ee147
hex22b6e2

2275042 has 48 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 823680.

The previous prime is 2275027. The next prime is 2275043. The reversal of 2275042 is 2405722.

2275042 = T133 + T134 + ... + T251.

2275042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22750422 = 10351632203528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2275043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28759 + ... + 28837.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22275042 is an apocalyptic number.

2275042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2275042 is an abundant number, since it is smaller than the sum of its proper divisors (2321438).

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

2275042 is a wasteful number, since it uses less digits than its factorization.

2275042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2275042 is about 1508.3242357000. The cubic root of 2275042 is about 131.5214150669.

The spelling of 2275042 in words is "two million, two hundred seventy-five thousand, forty-two".

Divisors: 1 2 7 11 14 17 22 34 77 79 119 121 154 158 187 238 242 374 553 847 869 1106 1309 1343 1694 1738 2057 2618 2686 4114 6083 9401 9559 12166 14399 14773 18802 19118 28798 29546 66913 103411 133826 162503 206822 325006 1137521 2275042