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2241672 = 2332331131
BaseRepresentation
bin1000100011010010001000
311012212222220
420203102020
51033213142
6120014040
725024326
oct10432210
94185886
102241672
1112a1224
12901320
13606444
14424d16
152e42ec
hex223488

2241672 has 64 divisors (see below), whose sum is σ = 6082560. Its totient is φ = 686400.

The previous prime is 2241667. The next prime is 2241691. The reversal of 2241672 is 2761422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 17047 + ... + 17177.

It is an arithmetic number, because the mean of its divisors is an integer number (95040).

22241672 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 2241672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041280).

2241672 is an abundant number, since it is smaller than the sum of its proper divisors (3840888).

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

2241672 is a wasteful number, since it uses less digits than its factorization.

2241672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 2241672 is about 1497.2214265098. The cubic root of 2241672 is about 130.8751992090.

The spelling of 2241672 in words is "two million, two hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 131 138 184 186 248 262 276 372 393 524 552 713 744 786 1048 1426 1572 2139 2852 3013 3144 4061 4278 5704 6026 8122 8556 9039 12052 12183 16244 17112 18078 24104 24366 32488 36156 48732 72312 93403 97464 186806 280209 373612 560418 747224 1120836 2241672