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2264992 = 25371913
BaseRepresentation
bin1000101000111110100000
311021001222121
420220332200
51034434432
6120314024
725152322
oct10507640
94231877
102264992
1113077a4
12912914
13613c42
1442d612
152eb197
hex228fa0

2264992 has 24 divisors (see below), whose sum is σ = 4582116. Its totient is φ = 1101312.

The previous prime is 2264959. The next prime is 2265001. The reversal of 2264992 is 2994622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1860496 + 404496 = 1364^2 + 636^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228 + ... + 2140.

22264992 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 2264992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291058).

2264992 is an abundant number, since it is smaller than the sum of its proper divisors (2317124).

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

2264992 is a wasteful number, since it uses less digits than its factorization.

2264992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1952 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 2264992 is about 1504.9890365049. The cubic root of 2264992 is about 131.3274638712.

It can be divided in two parts, 2 and 264992, that multiplied together give a square (529984 = 7282).

The spelling of 2264992 in words is "two million, two hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1913 3826 7652 15304 30608 61216 70781 141562 283124 566248 1132496 2264992