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2242992 = 24383563
BaseRepresentation
bin1000100011100110110000
311012221210210
420203212300
51033233432
6120024120
725031223
oct10434660
94187723
102242992
1112a2214
12902040
13606c1b
144255ba
152e48cc
hex2239b0

2242992 has 40 divisors (see below), whose sum is σ = 5874624. Its totient is φ = 737344.

The previous prime is 2242979. The next prime is 2242993. The reversal of 2242992 is 2992422.

It is a super-2 number, since 2×22429922 = 10062026224128, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 2 + 213 + 4 + 217 + 9 + 94 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2242993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3703 + ... + 4265.

22242992 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 2242992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937312).

2242992 is an abundant number, since it is smaller than the sum of its proper divisors (3631632).

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

2242992 is a wasteful number, since it uses less digits than its factorization.

2242992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2242992 is about 1497.6621781964. The cubic root of 2242992 is about 130.9008826223.

The spelling of 2242992 in words is "two million, two hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 563 664 996 1126 1328 1689 1992 2252 3378 3984 4504 6756 9008 13512 27024 46729 93458 140187 186916 280374 373832 560748 747664 1121496 2242992