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2241144 = 2332171831
BaseRepresentation
bin1000100011001001111000
311012212021100
420203021320
51033204034
6120011400
725022643
oct10431170
94185240
102241144
1112a0894
12900b60
13606129
14424a5a
152e4099
hex223278

2241144 has 48 divisors (see below), whose sum is σ = 6430320. Its totient is φ = 702720.

The previous prime is 2241139. The next prime is 2241163. The reversal of 2241144 is 4411422.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (133965).

22241144 is an apocalyptic number.

2241144 is a gapful number since it is divisible by the number (24) 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 2241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215160).

2241144 is an abundant number, since it is smaller than the sum of its proper divisors (4189176).

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

2241144 is a wasteful number, since it uses less digits than its factorization.

2241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1853 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2241144 is about 1497.0450895013. The cubic root of 2241144 is about 130.8649230206.

Adding to 2241144 its reverse (4411422), we get a palindrome (6652566).

The spelling of 2241144 in words is "two million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1831 3662 5493 7324 10986 14648 16479 21972 31127 32958 43944 62254 65916 93381 124508 131832 186762 249016 280143 373524 560286 747048 1120572 2241144