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2244792 = 233112773
BaseRepresentation
bin1000100100000010111000
311020001021110
420210002320
51033313132
6120040320
725036404
oct10440270
94201243
102244792
1112a3600
129030a0
136079a4
14426104
152e51cc
hex2240b8

2244792 has 48 divisors (see below), whose sum is σ = 6176520. Its totient is φ = 679360.

The previous prime is 2244787. The next prime is 2244811. The reversal of 2244792 is 2974422.

It is a super-2 number, since 2×22447922 = 10078182246528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 25 + 217 + 43 + 47 + 7 + 92 + 221 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2518 + ... + 3290.

22244792 is an apocalyptic number.

2244792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088260).

2244792 is an abundant number, since it is smaller than the sum of its proper divisors (3931728).

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

2244792 is a wasteful number, since it uses less digits than its factorization.

2244792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 789 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2244792 is about 1498.2629942704. The cubic root of 2244792 is about 130.9358892248.

The spelling of 2244792 in words is "two million, two hundred forty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 773 968 1452 1546 2319 2904 3092 4638 6184 8503 9276 17006 18552 25509 34012 51018 68024 93533 102036 187066 204072 280599 374132 561198 748264 1122396 2244792