Search a number
-
+
2242632 = 233721907
BaseRepresentation
bin1000100011100001001000
311012221022110
420203201020
51033231012
6120022320
725030200
oct10434110
94187273
102242632
1112a1a17
129019a0
13606a02
14425400
152e473c
hex223848

2242632 has 48 divisors (see below), whose sum is σ = 6525360. Its totient is φ = 640416.

The previous prime is 2242549. The next prime is 2242651. The reversal of 2242632 is 2362422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2242599 and 2242608.

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, 223 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (135945).

22242632 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 2242632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262680).

2242632 is an abundant number, since it is smaller than the sum of its proper divisors (4282728).

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

2242632 is a wasteful number, since it uses less digits than its factorization.

2242632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1919 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 2242632 is about 1497.5419860558. The cubic root of 2242632 is about 130.8938790545.

The spelling of 2242632 in words is "two million, two hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1907 3814 5721 7628 11442 13349 15256 22884 26698 40047 45768 53396 80094 93443 106792 160188 186886 280329 320376 373772 560658 747544 1121316 2242632