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2338224 = 24376959
BaseRepresentation
bin1000111010110110110000
311101210102220
420322312300
51044310344
6122041040
725605660
oct10726660
94353386
102338224
111357819
12949180
1363b385
1444c1a0
15312c19
hex23adb0

2338224 has 40 divisors (see below), whose sum is σ = 6904320. Its totient is φ = 667968.

The previous prime is 2338213. The next prime is 2338247. The reversal of 2338224 is 4228332.

2338224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2338194 and 2338203.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3144 + ... + 3815.

It is an arithmetic number, because the mean of its divisors is an integer number (172608).

22338224 is an apocalyptic number.

2338224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2338224 is an abundant number, since it is smaller than the sum of its proper divisors (4566096).

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

2338224 is a wasteful number, since it uses less digits than its factorization.

2338224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6971 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2338224 is about 1529.1252401291. The cubic root of 2338224 is about 132.7278434158.

The spelling of 2338224 in words is "two million, three hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6959 13918 20877 27836 41754 48713 55672 83508 97426 111344 146139 167016 194852 292278 334032 389704 584556 779408 1169112 2338224