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2272820384 = 25432107359
BaseRepresentation
bin1000011101111000…
…0111110010100000
312212101201020102202
42013132013302200
514123320223014
61013310232332
7110215440332
oct20736076240
95771636382
102272820384
11a66a4765a
125351b56a8
132a2b49b43
14177bd5452
15d48033de
hex87787ca0

2272820384 has 72 divisors (see below), whose sum is σ = 4636789920. Its totient is φ = 1096545408.

The previous prime is 2272820377. The next prime is 2272820399. The reversal of 2272820384 is 4830282722.

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, 6330797 + ... + 6331155.

It is an arithmetic number, because the mean of its divisors is an integer number (64399860).

Almost surely, 22272820384 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 2272820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318394960).

2272820384 is an abundant number, since it is smaller than the sum of its proper divisors (2363969536).

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

2272820384 is a wasteful number, since it uses less digits than its factorization.

2272820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 2272820384 is about 47674.1060115447. The cubic root of 2272820384 is about 1314.7859018113.

The spelling of 2272820384 in words is "two billion, two hundred seventy-two million, eight hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 86 107 172 214 344 359 428 688 718 856 1376 1436 1712 1849 2872 3424 3698 4601 5744 7396 9202 11488 14792 15437 18404 29584 30874 36808 38413 59168 61748 73616 76826 123496 147232 153652 197843 246992 307304 395686 493984 614608 663791 791372 1229216 1327582 1582744 1651759 2655164 3165488 3303518 5310328 6330976 6607036 10620656 13214072 21241312 26428144 52856288 71025637 142051274 284102548 568205096 1136410192 2272820384