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2234332224 = 26323879049
BaseRepresentation
bin1000010100101101…
…0011010001000000
312202201021211121100
42011023103101000
514033442112344
61005413254400
7106240340055
oct20513232100
95681254540
102234332224
11a47249963
12524334400
13297b92497
14172a5702c
15d124e569
hex852d3440

2234332224 has 42 divisors (see below), whose sum is σ = 6404311550. Its totient is φ = 744777216.

The previous prime is 2234332193. The next prime is 2234332229. The reversal of 2234332224 is 4222334322.

It is a happy number.

2234332224 is a `hidden beast` number, since 2 + 2 + 3 + 433 + 2 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1824998400 + 409333824 = 42720^2 + 20232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2234332229) 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 5 ways as a sum of consecutive naturals, for example, 1938949 + ... + 1940100.

Almost surely, 22234332224 is an apocalyptic number.

2234332224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2234332224 is an abundant number, since it is smaller than the sum of its proper divisors (4169979326).

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

2234332224 is a wasteful number, since it uses less digits than its factorization.

2234332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879067 (or 3879054 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 2234332224 is about 47268.7235283543. The cubic root of 2234332224 is about 1307.3220401554.

Adding to 2234332224 its reverse (4222334322), we get a palindrome (6456666546).

The spelling of 2234332224 in words is "two billion, two hundred thirty-four million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3879049 7758098 11637147 15516196 23274294 31032392 34911441 46548588 62064784 69822882 93097176 124129568 139645764 186194352 248259136 279291528 372388704 558583056 744777408 1117166112 2234332224