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2244231936 = 28323492791
BaseRepresentation
bin1000010111000100…
…0100001100000000
312210101220210110100
42011301010030000
514044010410221
61010405402400
7106420441152
oct20561041400
95711823410
102244231936
11a518a0741
12527709400
13299c4a4bb
141740b2ad2
15d2057926
hex85c44300

2244231936 has 108 divisors (see below), whose sum is σ = 6491539600. Its totient is φ = 745666560.

The previous prime is 2244231881. The next prime is 2244231953. The reversal of 2244231936 is 6391324422.

2244231936 is a `hidden beast` number, since 22 + 442 + 3 + 193 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2244231936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802701 + ... + 805491.

Almost surely, 22244231936 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 2244231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245769800).

2244231936 is an abundant number, since it is smaller than the sum of its proper divisors (4247307664).

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

2244231936 is a wasteful number, since it uses less digits than its factorization.

2244231936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3145 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2244231936 is about 47373.3251524526. The cubic root of 2244231936 is about 1309.2499904319.

The spelling of 2244231936 in words is "two billion, two hundred forty-four million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 349 384 576 698 768 1047 1152 1396 2094 2304 2791 2792 3141 4188 5582 5584 6282 8373 8376 11164 11168 12564 16746 16752 22328 22336 25119 25128 33492 33504 44656 44672 50238 50256 66984 67008 89312 89344 100476 100512 133968 134016 178624 200952 201024 267936 268032 357248 401904 402048 535872 714496 803808 804096 974059 1071744 1607616 1948118 2143488 2922177 3215232 3896236 5844354 6430464 7792472 8766531 11688708 15584944 17533062 23377416 31169888 35066124 46754832 62339776 70132248 93509664 124679552 140264496 187019328 249359104 280528992 374038656 561057984 748077312 1122115968 2244231936