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2231300864 = 28131739439
BaseRepresentation
bin1000010011111110…
…1111001100000000
312202111120211100202
42010333233030000
514032203111424
61005224304332
7106202513222
oct20477571400
95674524322
102231300864
11a45569401
125233120a8
13297370790
141724a8412
15d0d512ae
hex84fef300

2231300864 has 72 divisors (see below), whose sum is σ = 5078767680. Its totient is φ = 969228288.

The previous prime is 2231300843. The next prime is 2231300879. The reversal of 2231300864 is 4680031322.

It is a super-3 number, since 3×22313008643 (a number of 29 digits) contains 333 as substring.

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, 36857 + ... + 76295.

It is an arithmetic number, because the mean of its divisors is an integer number (70538440).

Almost surely, 22231300864 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 2231300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539383840).

2231300864 is an abundant number, since it is smaller than the sum of its proper divisors (2847466816).

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

2231300864 is a wasteful number, since it uses less digits than its factorization.

2231300864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39485 (or 39471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2231300864 is about 47236.6474678295. The cubic root of 2231300864 is about 1306.7305498870.

The spelling of 2231300864 in words is "two billion, two hundred thirty-one million, three hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 544 832 884 1088 1664 1768 2176 3328 3536 4352 7072 14144 28288 39439 56576 78878 157756 315512 512707 631024 670463 1025414 1262048 1340926 2050828 2524096 2681852 4101656 5048192 5363704 8203312 8716019 10096384 10727408 16406624 17432038 21454816 32813248 34864076 42909632 65626496 69728152 85819264 131252992 139456304 171638528 278912608 557825216 1115650432 2231300864