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2228702016 = 26315176873
BaseRepresentation
bin1000010011010111…
…0100101101000000
312202022200210102010
42010311310231000
514031021431031
61005052452520
7106141440342
oct20465645500
95668623363
102228702016
11a440538a2
1252247a140
132969708b8
14171dcd292
15d09db246
hex84d74b40

2228702016 has 56 divisors (see below), whose sum is σ = 5935902784. Its totient is φ = 737971200.

The previous prime is 2228701933. The next prime is 2228702087. The reversal of 2228702016 is 6102078222.

It is a super-2 number, since 2×22287020162 = 9934225352244928512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9445 + ... + 67428.

It is an arithmetic number, because the mean of its divisors is an integer number (105998264).

Almost surely, 22228702016 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 2228702016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967951392).

2228702016 is an abundant number, since it is smaller than the sum of its proper divisors (3707200768).

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

2228702016 is a wasteful number, since it uses less digits than its factorization.

2228702016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77039 (or 77029 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2228702016 is about 47209.1306422815. The cubic root of 2228702016 is about 1306.2230263090.

The spelling of 2228702016 in words is "two billion, two hundred twenty-eight million, seven hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 7248 9664 14496 28992 76873 153746 230619 307492 461238 614984 922476 1229968 1844952 2459936 3689904 4919872 7379808 11607823 14759616 23215646 34823469 46431292 69646938 92862584 139293876 185725168 278587752 371450336 557175504 742900672 1114351008 2228702016