Search a number
-
+
2165220000 = 25325423523
BaseRepresentation
bin1000000100001110…
…1010001010100000
312120220020120110100
42001003222022200
513413244020000
6554504102400
7104441031516
oct20103521240
95526216410
102165220000
11a11234919
12505164a00
13286774a88
141677c64b6
15ca14ba00
hex810ea2a0

2165220000 has 360 divisors, whose sum is σ = 8044100064. Its totient is φ = 551232000.

The previous prime is 2165219941. The next prime is 2165220053. The reversal of 2165220000 is 225612.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 4139739 + ... + 4140261.

Almost surely, 22165220000 is an apocalyptic number.

2165220000 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 2165220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022050032).

2165220000 is an abundant number, since it is smaller than the sum of its proper divisors (5878880064).

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

2165220000 is a wasteful number, since it uses less digits than its factorization.

2165220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 556 counting only the distinct ones).

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

The square root of 2165220000 is about 46531.9245249968. The cubic root of 2165220000 is about 1293.7012864106.

Adding to 2165220000 its reverse (225612), we get a palindrome (2165445612).

The spelling of 2165220000 in words is "two billion, one hundred sixty-five million, two hundred twenty thousand".