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2244864 = 2833779
BaseRepresentation
bin1000100100000100000000
311020001101010
420210010000
51033313424
6120040520
725036536
oct10440400
94201333
102244864
1112a3666
12903140
13607a2b
14426156
152e5229
hex224100

2244864 has 72 divisors (see below), whose sum is σ = 6213760. Its totient is φ = 718848.

The previous prime is 2244863. The next prime is 2244881. The reversal of 2244864 is 4684422.

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 217 + 221 + 42 + 42 + 8 + 63 + 47 .

It is not an unprimeable number, because it can be changed into a prime (2244863) 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, 28377 + ... + 28455.

22244864 is an apocalyptic number.

2244864 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 2244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106880).

2244864 is an abundant number, since it is smaller than the sum of its proper divisors (3968896).

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

2244864 is an equidigital number, since it uses as much as digits as its factorization.

2244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

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

The square root of 2244864 is about 1498.2870219020. The cubic root of 2244864 is about 130.9372890996.

The spelling of 2244864 in words is "two million, two hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 79 96 111 128 148 158 192 222 237 256 296 316 384 444 474 592 632 768 888 948 1184 1264 1776 1896 2368 2528 2923 3552 3792 4736 5056 5846 7104 7584 8769 9472 10112 11692 14208 15168 17538 20224 23384 28416 30336 35076 46768 60672 70152 93536 140304 187072 280608 374144 561216 748288 1122432 2244864