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2249766 = 232124987
BaseRepresentation
bin1000100101010000100110
311020022002200
420211100212
51033443031
6120115330
725060041
oct10452046
94208080
102249766
1112a7312
12905b46
1360a02c
14427c58
152e68e6
hex225426

2249766 has 12 divisors (see below), whose sum is σ = 4874532. Its totient is φ = 749916.

The previous prime is 2249759. The next prime is 2249773. The reversal of 2249766 is 6679422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2249759) and next prime (2249773).

It is a super-2 number, since 2×22497662 = 10122894109512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 215 + 219 + 46 + 94 + 74 + 62 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2249766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62476 + ... + 62511.

It is an arithmetic number, because the mean of its divisors is an integer number (406211).

22249766 is an apocalyptic number.

2249766 is an abundant number, since it is smaller than the sum of its proper divisors (2624766).

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

2249766 is a wasteful number, since it uses less digits than its factorization.

2249766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124995 (or 124992 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2249766 is about 1499.9219979719. The cubic root of 2249766 is about 131.0325269345.

The spelling of 2249766 in words is "two million, two hundred forty-nine thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 124987 249974 374961 749922 1124883 2249766