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2244432032 = 252919712277
BaseRepresentation
bin1000010111000111…
…0101000010100000
312210102021221221022
42011301311002200
514044033311112
61010413545012
7106422233423
oct20561650240
95712257838
102244432032
11a51a18007
125277a5168
13299cba5bb
141741259ba
15d2096d72
hex85c750a0

2244432032 has 48 divisors (see below), whose sum is σ = 4594673160. Its totient is φ = 1077931008.

The previous prime is 2244432017. The next prime is 2244432041. The reversal of 2244432032 is 2302344422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2042678416 + 201753616 = 45196^2 + 14204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2244431992 and 2244432010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176678 + ... + 188954.

Almost surely, 22244432032 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 2244432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297336580).

2244432032 is an abundant number, since it is smaller than the sum of its proper divisors (2350241128).

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

2244432032 is a wasteful number, since it uses less digits than its factorization.

2244432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12505 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2244432032 is about 47375.4370111770. The cubic root of 2244432032 is about 1309.2889002398.

Adding to 2244432032 its reverse (2302344422), we get a palindrome (4546776454).

The spelling of 2244432032 in words is "two billion, two hundred forty-four million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 197 232 394 464 788 928 1576 3152 5713 6304 11426 12277 22852 24554 45704 49108 91408 98216 182816 196432 356033 392864 712066 1424132 2418569 2848264 4837138 5696528 9674276 11393056 19348552 38697104 70138501 77394208 140277002 280554004 561108008 1122216016 2244432032