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2249472 = 28329101
BaseRepresentation
bin1000100101001100000000
311020021200210
420211030000
51033440342
6120114120
725056141
oct10451400
94207623
102249472
1112a7075
12905940
13609b64
14427ac8
152e679c
hex225300

2249472 has 72 divisors (see below), whose sum is σ = 6254640. Its totient is φ = 716800.

The previous prime is 2249441. The next prime is 2249477. The reversal of 2249472 is 2749422.

It is a d-powerful number, because it can be written as 23 + 217 + 44 + 92 + 46 + 75 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2249477) 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, 22222 + ... + 22322.

It is an arithmetic number, because the mean of its divisors is an integer number (86870).

22249472 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 2249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127320).

2249472 is an abundant number, since it is smaller than the sum of its proper divisors (4005168).

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

2249472 is a wasteful number, since it uses less digits than its factorization.

2249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2249472 is about 1499.8239896735. The cubic root of 2249472 is about 131.0268188978.

It can be divided in two parts, 22 and 49472, that added together give a palindrome (49494).

The spelling of 2249472 in words is "two million, two hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 101 116 128 174 192 202 232 256 303 348 384 404 464 606 696 768 808 928 1212 1392 1616 1856 2424 2784 2929 3232 3712 4848 5568 5858 6464 7424 8787 9696 11136 11716 12928 17574 19392 22272 23432 25856 35148 38784 46864 70296 77568 93728 140592 187456 281184 374912 562368 749824 1124736 2249472