[go: up one dir, main page]

Search a number
-
+
2290392 = 2332132447
BaseRepresentation
bin1000101111001011011000
311022100211100
420233023120
51041243032
6121031400
725316346
oct10571330
94270740
102290392
111324895
12925560
13622680
14438996
1530397c
hex22f2d8

2290392 has 48 divisors (see below), whose sum is σ = 6683040. Its totient is φ = 704448.

The previous prime is 2290369. The next prime is 2290403. The reversal of 2290392 is 2930922.

2290392 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 a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 288 + ... + 2159.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

22290392 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 2290392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520).

2290392 is an abundant number, since it is smaller than the sum of its proper divisors (4392648).

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

2290392 is a wasteful number, since it uses less digits than its factorization.

2290392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2290392 is about 1513.4041099455. The cubic root of 2290392 is about 131.8165495708.

The spelling of 2290392 in words is "two million, two hundred ninety thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2447 4894 7341 9788 14682 19576 22023 29364 31811 44046 58728 63622 88092 95433 127244 176184 190866 254488 286299 381732 572598 763464 1145196 2290392