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2244648 = 233731431
BaseRepresentation
bin1000100100000000101000
311020001002010
420210000220
51033312043
6120035520
725036110
oct10440050
94201063
102244648
1112a348a
12902ba0
136078c3
14426040
152e5133
hex224028

2244648 has 64 divisors (see below), whose sum is σ = 6635520. Its totient is φ = 619200.

The previous prime is 2244631. The next prime is 2244653. The reversal of 2244648 is 8464422.

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

It is a d-powerful number, because it can be written as 215 + 221 + 4 + 47 + 62 + 48 + 85 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4993 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (103680).

22244648 is an apocalyptic number.

2244648 is a gapful number since it is divisible by the number (28) 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 2244648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317760).

2244648 is an abundant number, since it is smaller than the sum of its proper divisors (4390872).

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

2244648 is a wasteful number, since it uses less digits than its factorization.

2244648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 2244648 is about 1498.2149378510. The cubic root of 2244648 is about 130.9330893854.

It can be divided in two parts, 2 and 244648, that added together give a triangular number (244650 = T699).

The spelling of 2244648 in words is "two million, two hundred forty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 431 434 651 744 862 868 1293 1302 1724 1736 2586 2604 3017 3448 5172 5208 6034 9051 10344 12068 13361 18102 24136 26722 36204 40083 53444 72408 80166 93527 106888 160332 187054 280581 320664 374108 561162 748216 1122324 2244648