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2244245632 = 2761833463
BaseRepresentation
bin1000010111000100…
…0111100010000000
312210101221111020121
42011301013202000
514044011330012
61010405550024
7106420526116
oct20561074200
95711844217
102244245632
11a518aaa62
12527715314
13299c537c5
141740b7ab6
15d205ba07
hex85c47880

2244245632 has 64 divisors (see below), whose sum is σ = 4600330560. Its totient is φ = 1090114560.

The previous prime is 2244245609. The next prime is 2244245639. The reversal of 2244245632 is 2365424422.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2244245639) 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 7 ways as a sum of consecutive naturals, for example, 646333 + ... + 649795.

It is an arithmetic number, because the mean of its divisors is an integer number (71880165).

Almost surely, 22244245632 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 2244245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300165280).

2244245632 is an abundant number, since it is smaller than the sum of its proper divisors (2356084928).

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

2244245632 is an equidigital number, since it uses as much as digits as its factorization.

2244245632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3609 counting only the distinct ones).

The product of its digits is 92160, while the sum is 34.

The square root of 2244245632 is about 47373.4697061552. The cubic root of 2244245632 is about 1309.2526537709.

The spelling of 2244245632 in words is "two billion, two hundred forty-four million, two hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 64 83 122 128 166 244 332 488 664 976 1328 1952 2656 3463 3904 5063 5312 6926 7808 10126 10624 13852 20252 27704 40504 55408 81008 110816 162016 211243 221632 287429 324032 422486 443264 574858 648064 844972 1149716 1689944 2299432 3379888 4598864 6759776 9197728 13519552 17533169 18395456 27039104 35066338 36790912 70132676 140265352 280530704 561061408 1122122816 2244245632