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2332242688 = 2823419661
BaseRepresentation
bin1000101100000011…
…0011001100000000
320000112112012111211
42023000303030000
514234023231223
61023232015504
7111536510236
oct21300631400
96015465454
102332242688
11a975434a6
12551091594
132b2253b79
14181a62956
15d9b3ed0d
hex8b033300

2332242688 has 72 divisors (see below), whose sum is σ = 4976780256. Its totient is φ = 1088102400.

The previous prime is 2332242677. The next prime is 2332242691. The reversal of 2332242688 is 8862422332.

It is a self number, because there is not a number n which added to its sum of digits gives 2332242688.

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, 236578 + ... + 246238.

It is an arithmetic number, because the mean of its divisors is an integer number (69121948).

Almost surely, 22332242688 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 2332242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488390128).

2332242688 is an abundant number, since it is smaller than the sum of its proper divisors (2644537568).

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

2332242688 is an equidigital number, since it uses as much as digits as its factorization.

2332242688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9741 (or 9727 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 2332242688 is about 48293.2985827226. The cubic root of 2332242688 is about 1326.1457161316.

It can be divided in two parts, 23 and 32242688, that multiplied together give a square (741581824 = 272322).

The spelling of 2332242688 in words is "two billion, three hundred thirty-two million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 256 328 368 656 736 943 1312 1472 1886 2624 2944 3772 5248 5888 7544 9661 10496 15088 19322 30176 38644 60352 77288 120704 154576 222203 241408 309152 396101 444406 618304 792202 888812 1236608 1584404 1777624 2473216 3168808 3555248 6337616 7110496 9110323 12675232 14220992 18220646 25350464 28441984 36441292 50700928 56883968 72882584 101401856 145765168 291530336 583060672 1166121344 2332242688