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2228381344 = 25729834133
BaseRepresentation
bin1000010011010010…
…0110011010100000
312202022002111112101
42010310212122200
514030431200334
61005041540144
7106135633420
oct20464463240
95668074471
102228381344
11a43954982
12522344654
1329688a957
14171d48480
15d0976214
hex84d266a0

2228381344 has 96 divisors (see below), whose sum is σ = 5250510720. Its totient is φ = 910758912.

The previous prime is 2228381333. The next prime is 2228381359. The reversal of 2228381344 is 4431838222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537102 + ... + 541234.

It is an arithmetic number, because the mean of its divisors is an integer number (54692820).

Almost surely, 22228381344 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 2228381344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625255360).

2228381344 is an abundant number, since it is smaller than the sum of its proper divisors (3022129376).

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

2228381344 is a wasteful number, since it uses less digits than its factorization.

2228381344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4254 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The square root of 2228381344 is about 47205.7342279516. The cubic root of 2228381344 is about 1306.1603756064.

The spelling of 2228381344 in words is "two billion, two hundred twenty-eight million, three hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 83 112 116 166 203 224 232 332 406 464 581 664 812 928 1162 1328 1624 2324 2407 2656 3248 4133 4648 4814 6496 8266 9296 9628 16532 16849 18592 19256 28931 33064 33698 38512 57862 66128 67396 77024 115724 119857 132256 134792 231448 239714 269584 343039 462896 479428 539168 686078 838999 925792 958856 1372156 1677998 1917712 2401273 2744312 3355996 3835424 4802546 5488624 6711992 9605092 9948131 10977248 13423984 19210184 19896262 26847968 38420368 39792524 69636917 76840736 79585048 139273834 159170096 278547668 318340192 557095336 1114190672 2228381344