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2290842 = 23479179
BaseRepresentation
bin1000101111010010011010
311022101110000
420233102122
51041301332
6121033430
725320561
oct10572232
94271400
102290842
111325164
12925876
13622938
14438bd8
15303b7c
hex22f49a

2290842 has 40 divisors (see below), whose sum is σ = 5227200. Its totient is φ = 749736.

The previous prime is 2290831. The next prime is 2290843. The reversal of 2290842 is 2480922.

2290842 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-3 number, since 3×22908423 = 36066721403338883064, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290843) 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 19 ways as a sum of consecutive naturals, for example, 12709 + ... + 12887.

It is an arithmetic number, because the mean of its divisors is an integer number (130680).

22290842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613600).

2290842 is an abundant number, since it is smaller than the sum of its proper divisors (2936358).

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

2290842 is a wasteful number, since it uses less digits than its factorization.

2290842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2290842 is about 1513.5527741047. The cubic root of 2290842 is about 131.8251817996.

The spelling of 2290842 in words is "two million, two hundred ninety thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 179 237 358 474 537 711 1074 1422 1611 2133 3222 4266 4833 6399 9666 12798 14141 14499 28282 28998 42423 84846 127269 254538 381807 763614 1145421 2290842