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2313900 = 223352857
BaseRepresentation
bin1000110100111010101100
311100120002000
420310322230
51043021100
6121332300
725445031
oct10647254
94316060
102313900
111340516
12937090
13630294
14443388
1530a900
hex234eac

2313900 has 72 divisors (see below), whose sum is σ = 7447440. Its totient is φ = 616320.

The previous prime is 2313889. The next prime is 2313907. The reversal of 2313900 is 93132.

2313900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2313907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2272 + ... + 3128.

22313900 is an apocalyptic number.

2313900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723720).

2313900 is an abundant number, since it is smaller than the sum of its proper divisors (5133540).

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

2313900 is a wasteful number, since it uses less digits than its factorization.

2313900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2313900 is about 1521.1508800905. The cubic root of 2313900 is about 132.2659925653.

The spelling of 2313900 in words is "two million, three hundred thirteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 857 900 1350 1714 2571 2700 3428 4285 5142 7713 8570 10284 12855 15426 17140 21425 23139 25710 30852 38565 42850 46278 51420 64275 77130 85700 92556 115695 128550 154260 192825 231390 257100 385650 462780 578475 771300 1156950 2313900