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2248664 = 2311223101
BaseRepresentation
bin1000100100111111011000
311020020120212
420210333120
51033424124
6120110252
725053605
oct10447730
94206525
102248664
1112a6500
12905388
13609692
144276ac
152e640e
hex224fd8

2248664 has 48 divisors (see below), whose sum is σ = 4883760. Its totient is φ = 968000.

The previous prime is 2248663. The next prime is 2248679. The reversal of 2248664 is 4668422.

It is a happy number.

2248664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2248664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22214 + ... + 22314.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

22248664 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 2248664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441880).

2248664 is an abundant number, since it is smaller than the sum of its proper divisors (2635096).

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

2248664 is a wasteful number, since it uses less digits than its factorization.

2248664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 2248664 is about 1499.5546005398. The cubic root of 2248664 is about 131.0111289421.

It can be divided in two parts, 224 and 8664, that added together give a palindrome (8888).

The spelling of 2248664 in words is "two million, two hundred forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 101 121 184 202 242 253 404 484 506 808 968 1012 1111 2024 2222 2323 2783 4444 4646 5566 8888 9292 11132 12221 18584 22264 24442 25553 48884 51106 97768 102212 204424 281083 562166 1124332 2248664