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2263092 = 2231389163
BaseRepresentation
bin1000101000100000110100
311020222101020
420220200310
51034404332
6120301140
725143636
oct10504064
94228336
102263092
111306327
129117b0
13613110
1442ca56
152ea82c
hex228834

2263092 has 48 divisors (see below), whose sum is σ = 5785920. Its totient is φ = 684288.

The previous prime is 2263087. The next prime is 2263099. The reversal of 2263092 is 2903622.

It is a d-powerful number, because it can be written as 2 + 27 + 68 + 310 + 0 + 9 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13803 + ... + 13965.

It is an arithmetic number, because the mean of its divisors is an integer number (120540).

22263092 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 2263092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892960).

2263092 is an abundant number, since it is smaller than the sum of its proper divisors (3522828).

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

2263092 is a wasteful number, since it uses less digits than its factorization.

2263092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2263092 is about 1504.3576702367. The cubic root of 2263092 is about 131.2907320291.

It can be divided in two parts, 22630 and 92, that added together give a palindrome (22722).

The spelling of 2263092 in words is "two million, two hundred sixty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 163 178 267 326 356 489 534 652 978 1068 1157 1956 2119 2314 3471 4238 4628 6357 6942 8476 12714 13884 14507 25428 29014 43521 58028 87042 174084 188591 377182 565773 754364 1131546 2263092