Search a number
-
+
2313122200 = 2352101307373
BaseRepresentation
bin1000100111011111…
…0111000110011000
312222012112210010121
42021313313012120
514214124402300
61021310123024
7111215133334
oct21167670630
95865483117
102313122200
11a87773a44
125467b0474
132ab2bab7c
1417d2c67c4
15d811481a
hex89df7198

2313122200 has 96 divisors (see below), whose sum is σ = 5463556560. Its totient is φ = 910656000.

The previous prime is 2313122173. The next prime is 2313122233. The reversal of 2313122200 is 22213132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6201214 + ... + 6201586.

Almost surely, 22313122200 is an apocalyptic number.

2313122200 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 2313122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731778280).

2313122200 is an abundant number, since it is smaller than the sum of its proper divisors (3150434360).

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

2313122200 is a wasteful number, since it uses less digits than its factorization.

2313122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2313122200 is about 48094.9290466261. The cubic root of 2313122200 is about 1322.5117083308.

Adding to 2313122200 its reverse (22213132), we get a palindrome (2335335332).

The spelling of 2313122200 in words is "two billion, three hundred thirteen million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 307 373 404 505 614 746 808 1010 1228 1492 1535 1865 2020 2456 2525 2984 3070 3730 4040 5050 6140 7460 7675 9325 10100 12280 14920 15350 18650 20200 30700 31007 37300 37673 61400 62014 74600 75346 114511 124028 150692 155035 188365 229022 248056 301384 310070 376730 458044 572555 620140 753460 775175 916088 941825 1145110 1240280 1506920 1550350 1883650 2290220 2862775 3100700 3767300 4580440 5725550 6201400 7534600 11451100 11565611 22902200 23131222 46262444 57828055 92524888 115656110 231312220 289140275 462624440 578280550 1156561100 2313122200