Search a number
-
+
2051620200 = 233252733323
BaseRepresentation
bin111101001001001…
…0011110101101000
312021222111002211100
41322102103311220
513200203321300
6535325201400
7101561325000
oct17222236550
95258432740
102051620200
119630a4693
12493100260
1326907c066
14156695000
15c01ac700
hex7a493d68

2051620200 has 288 divisors, whose sum is σ = 8037432000. Its totient is φ = 468800640.

The previous prime is 2051620183. The next prime is 2051620223. The reversal of 2051620200 is 20261502.

2051620200 is a `hidden beast` number, since 20 + 5 + 1 + 620 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 615739 + ... + 619061.

It is an arithmetic number, because the mean of its divisors is an integer number (27907750).

Almost surely, 22051620200 is an apocalyptic number.

2051620200 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 2051620200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018716000).

2051620200 is an abundant number, since it is smaller than the sum of its proper divisors (5985811800).

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

2051620200 is a wasteful number, since it uses less digits than its factorization.

2051620200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2051620200 is about 45294.8142727178. The cubic root of 2051620200 is about 1270.6686705464.

Adding to 2051620200 its reverse (20261502), we get a palindrome (2071881702).

The spelling of 2051620200 in words is "two billion, fifty-one million, six hundred twenty thousand, two hundred".