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2294624768 = 29292732
BaseRepresentation
bin1000100011000101…
…0011001000000000
312220220202000102112
42020301103020000
514144410443033
61015405434452
7110601663062
oct21061231000
95826660375
102294624768
11a7828a607
1254056ba28
132a7512647
1417aa6d732
15d66adc48
hex88c53200

2294624768 has 90 divisors (see below), whose sum is σ = 4814251299. Its totient is φ = 1092575232.

The previous prime is 2294624719. The next prime is 2294624779. The reversal of 2294624768 is 8674264922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1357775104 + 936849664 = 36848^2 + 30608^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33872.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31433180 + ... + 31433252.

Almost surely, 22294624768 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 2294624768

2294624768 is an abundant number, since it is smaller than the sum of its proper divisors (2519626531).

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

2294624768 is an frugal number, since it uses more digits than its factorization.

2294624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 104 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The square root of 2294624768 is about 47902.2417847015. The cubic root of 2294624768 is about 1318.9770096599.

Multiplying 2294624768 by its sum of digits (50), we get a square (114731238400 = 3387202).

The spelling of 2294624768 in words is "two billion, two hundred ninety-four million, six hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 128 146 232 256 292 464 512 584 841 928 1168 1682 1856 2117 2336 3364 3712 4234 4672 5329 6728 7424 8468 9344 10658 13456 14848 16936 18688 21316 26912 33872 37376 42632 53824 61393 67744 85264 107648 122786 135488 154541 170528 215296 245572 270976 309082 341056 430592 491144 541952 618164 682112 982288 1083904 1236328 1364224 1964576 2472656 2728448 3929152 4481689 4945312 7858304 8963378 9890624 15716608 17926756 19781248 31433216 35853512 39562496 71707024 79124992 143414048 286828096 573656192 1147312384 2294624768