Search a number
-
+
2194516800 = 26345274159
BaseRepresentation
bin1000001011001101…
…1010101101000000
312122221101000010000
42002303122231000
513443244014200
61001432040000
7105245041110
oct20263325500
95587330100
102194516800
11a26824a53
12512b33000
1328c861968
1416b651040
15cc9d7300
hex82cdab40

2194516800 has 840 divisors, whose sum is σ = 9603760320. Its totient is φ = 481075200.

The previous prime is 2194516787. The next prime is 2194516801. The reversal of 2194516800 is 86154912.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2194516801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37195171 + ... + 37195229.

It is an arithmetic number, because the mean of its divisors is an integer number (11433048).

Almost surely, 22194516800 is an apocalyptic number.

2194516800 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 2194516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801880160).

2194516800 is an abundant number, since it is smaller than the sum of its proper divisors (7409243520).

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

2194516800 is a wasteful number, since it uses less digits than its factorization.

2194516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2194516800 is about 46845.6700240268. The cubic root of 2194516800 is about 1299.5100323178.

The spelling of 2194516800 in words is "two billion, one hundred ninety-four million, five hundred sixteen thousand, eight hundred".