Search a number
-
+
2158531200 = 27335274383
BaseRepresentation
bin1000000010101000…
…1001001010000000
312120102122202011000
42000222021022000
513410040444300
6554104452000
7104330132610
oct20052111200
95512582130
102158531200
11a08486491
12502a7a000
132852723c7
14166964a40
15c9779c00
hex80a89280

2158531200 has 768 divisors, whose sum is σ = 9349401600. Its totient is φ = 476098560.

The previous prime is 2158531187. The next prime is 2158531213. The reversal of 2158531200 is 21358512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2158531187) and next prime (2158531213).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26006359 + ... + 26006441.

It is an arithmetic number, because the mean of its divisors is an integer number (12173700).

Almost surely, 22158531200 is an apocalyptic number.

2158531200 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 2158531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674700800).

2158531200 is an abundant number, since it is smaller than the sum of its proper divisors (7190870400).

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

2158531200 is a wasteful number, since it uses less digits than its factorization.

2158531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2158531200 is about 46459.9956952215. The cubic root of 2158531200 is about 1292.3677444621.

Adding to 2158531200 its reverse (21358512), we get a palindrome (2179889712).

The spelling of 2158531200 in words is "two billion, one hundred fifty-eight million, five hundred thirty-one thousand, two hundred".