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2290092 = 2237137199
BaseRepresentation
bin1000101111000110101100
311022100102020
420233012230
51041240332
6121030140
725315440
oct10570654
94270366
102290092
111324642
12925350
136224ac
14438820
1530382c
hex22f1ac

2290092 has 48 divisors (see below), whose sum is σ = 6182400. Its totient is φ = 646272.

The previous prime is 2290091. The next prime is 2290097. The reversal of 2290092 is 2900922.

2290092 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2290091) 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 15 ways as a sum of consecutive naturals, for example, 11409 + ... + 11607.

It is an arithmetic number, because the mean of its divisors is an integer number (128800).

22290092 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 2290092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091200).

2290092 is an abundant number, since it is smaller than the sum of its proper divisors (3892308).

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

2290092 is a wasteful number, since it uses less digits than its factorization.

2290092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2290092 is about 1513.3049923925. The cubic root of 2290092 is about 131.8107941235.

The spelling of 2290092 in words is "two million, two hundred ninety thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 199 274 398 411 548 597 796 822 959 1194 1393 1644 1918 2388 2786 2877 3836 4179 5572 5754 8358 11508 16716 27263 54526 81789 109052 163578 190841 327156 381682 572523 763364 1145046 2290092