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2313423200 = 255211223899
BaseRepresentation
bin1000100111100100…
…0000100101100000
312222020010002000202
42021321000211200
514214214020300
61021320404332
7111220526024
oct21171004540
95866102022
102313423200
11a8795a100
125469166a8
132ab394b8a
1417d364384
15d8173ad5
hex89e40960

2313423200 has 108 divisors (see below), whose sum is σ = 6208001100. Its totient is φ = 841209600.

The previous prime is 2313423193. The next prime is 2313423239. The reversal of 2313423200 is 23243132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 84851 + ... + 108749.

Almost surely, 22313423200 is an apocalyptic number.

2313423200 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 2313423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104000550).

2313423200 is an abundant number, since it is smaller than the sum of its proper divisors (3894577900).

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

2313423200 is a wasteful number, since it uses less digits than its factorization.

2313423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23941 (or 23917 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2313423200 is about 48098.0581728618. The cubic root of 2313423200 is about 1322.5690707360.

Adding to 2313423200 its reverse (23243132), we get a palindrome (2336666332).

The spelling of 2313423200 in words is "two billion, three hundred thirteen million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 160 176 200 220 242 275 352 400 440 484 550 605 800 880 968 1100 1210 1760 1936 2200 2420 3025 3872 4400 4840 6050 8800 9680 12100 19360 23899 24200 47798 48400 95596 96800 119495 191192 238990 262889 382384 477980 525778 597475 764768 955960 1051556 1194950 1314445 1911920 2103112 2389900 2628890 2891779 3823840 4206224 4779800 5257780 5783558 6572225 8412448 9559600 10515560 11567116 13144450 14458895 19119200 21031120 23134232 26288900 28917790 42062240 46268464 52577800 57835580 72294475 92536928 105155600 115671160 144588950 210311200 231342320 289177900 462684640 578355800 1156711600 2313423200