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2320042200 = 2335272234773
BaseRepresentation
bin1000101001001001…
…0000100011011000
312222200120100120220
42022102100203120
514222412322300
61022114320040
7111331014300
oct21222204330
95880510526
102320042200
11a90670053
12548b89020
132ac871848
141801a8600
15d8a2eda0
hex8a4908d8

2320042200 has 576 divisors, whose sum is σ = 9037992960. Its totient is φ = 489646080.

The previous prime is 2320042199. The next prime is 2320042229. The reversal of 2320042200 is 22400232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2320042200.

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 143 ways as a sum of consecutive naturals, for example, 31781364 + ... + 31781436.

It is an arithmetic number, because the mean of its divisors is an integer number (15690960).

Almost surely, 22320042200 is an apocalyptic number.

2320042200 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 2320042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518996480).

2320042200 is an abundant number, since it is smaller than the sum of its proper divisors (6717950760).

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

2320042200 is a wasteful number, since it uses less digits than its factorization.

2320042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2320042200 is about 48166.8163780834. The cubic root of 2320042200 is about 1323.8292161736.

Adding to 2320042200 its reverse (22400232), we get a palindrome (2342442432).

The spelling of 2320042200 in words is "two billion, three hundred twenty million, forty-two thousand, two hundred".