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2312400200 = 2352116117231
BaseRepresentation
bin1000100111010100…
…0110110101001000
312222011012002201212
42021311012311020
514213433301300
61021242432252
7111206035355
oct21165066510
95864162655
102312400200
11a87320550
12546502688
132ab0c7356
1417d17962c
15d8020935
hex89d46d48

2312400200 has 96 divisors (see below), whose sum is σ = 5961582720. Its totient is φ = 827040000.

The previous prime is 2312400199. The next prime is 2312400203. The reversal of 2312400200 is 20042132.

It is not an unprimeable number, because it can be changed into a prime (2312400203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125585 + ... + 142815.

It is an arithmetic number, because the mean of its divisors is an integer number (62099820).

Almost surely, 22312400200 is an apocalyptic number.

2312400200 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 2312400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980791360).

2312400200 is an abundant number, since it is smaller than the sum of its proper divisors (3649182520).

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

2312400200 is a wasteful number, since it uses less digits than its factorization.

2312400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17319 (or 17310 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2312400200 is about 48087.4224719937. The cubic root of 2312400200 is about 1322.3740945005.

Adding to 2312400200 its reverse (20042132), we get a palindrome (2332442332).

The spelling of 2312400200 in words is "two billion, three hundred twelve million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 200 220 244 275 305 440 488 550 610 671 1100 1220 1342 1525 2200 2440 2684 3050 3355 5368 6100 6710 12200 13420 16775 17231 26840 33550 34462 67100 68924 86155 134200 137848 172310 189541 344620 379082 430775 689240 758164 861550 947705 1051091 1516328 1723100 1895410 2102182 3446200 3790820 4204364 4738525 5255455 7581640 8408728 9477050 10510910 11562001 18954100 21021820 23124002 26277275 37908200 42043640 46248004 52554550 57810005 92496008 105109100 115620010 210218200 231240020 289050025 462480040 578100050 1156200100 2312400200