Search a number
-
+
2116422000 = 243353711509
BaseRepresentation
bin111111000100110…
…0000100101110000
312110111102101012000
41332021200211300
513313301001000
6550002134000
7103306201350
oct17611404560
95414371160
102116422000
119967351a0
124b0951300
1327961a814
14161122b60
15c5c0d000
hex7e260970

2116422000 has 640 divisors, whose sum is σ = 9470822400. Its totient is φ = 438912000.

The previous prime is 2116421999. The next prime is 2116422013. The reversal of 2116422000 is 2246112.

2116422000 is a `hidden beast` number, since 2 + 1 + 1 + 642 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4157746 + ... + 4158254.

It is an arithmetic number, because the mean of its divisors is an integer number (14798160).

Almost surely, 22116422000 is an apocalyptic number.

2116422000 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 2116422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735411200).

2116422000 is an abundant number, since it is smaller than the sum of its proper divisors (7354400400).

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

2116422000 is a wasteful number, since it uses less digits than its factorization.

2116422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2116422000 is about 46004.5867278470. The cubic root of 2116422000 is about 1283.9085444512.

Adding to 2116422000 its reverse (2246112), we get a palindrome (2118668112).

The spelling of 2116422000 in words is "two billion, one hundred sixteen million, four hundred twenty-two thousand".