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2313233664 = 2837430289
BaseRepresentation
bin1000100111100001…
…0010010100000000
312222012202110000220
42021320102110000
514214141434124
61021312343040
7111216106320
oct21170222400
95865673026
102313233664
11a8783a765
12546844a80
132ab329821
1417d315280
15d8137879
hex89e12500

2313233664 has 72 divisors (see below), whose sum is σ = 7036102080. Its totient is φ = 660922368.

The previous prime is 2313233651. The next prime is 2313233693. The reversal of 2313233664 is 4663323132.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 209769 + ... + 220520.

It is an arithmetic number, because the mean of its divisors is an integer number (97723640).

Almost surely, 22313233664 is an apocalyptic number.

2313233664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2313233664 is an abundant number, since it is smaller than the sum of its proper divisors (4722868416).

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

2313233664 is an equidigital number, since it uses as much as digits as its factorization.

2313233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430315 (or 430301 counting only the distinct ones).

The product of its digits is 46656, while the sum is 33.

The square root of 2313233664 is about 48096.0878242711. The cubic root of 2313233664 is about 1322.5329509147.

Adding to 2313233664 its reverse (4663323132), we get a palindrome (6976556796).

The spelling of 2313233664 in words is "two billion, three hundred thirteen million, two hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 430289 860578 1290867 1721156 2581734 3012023 3442312 5163468 6024046 6884624 9036069 10326936 12048092 13769248 18072138 20653872 24096184 27538496 36144276 41307744 48192368 55076992 72288552 82615488 96384736 110153984 144577104 165230976 192769472 289154208 330461952 385538944 578308416 771077888 1156616832 2313233664