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2150843112 = 2333115967229
BaseRepresentation
bin1000000000110011…
…0100001011101000
312112220012011002000
42000030310023220
513401103434422
6553232011000
7104204602425
oct20014641350
95486164060
102150843112
11a041052a0
12500390a60
132837acc42
14165922d4c
15c8c5bcac
hex803342e8

2150843112 has 256 divisors, whose sum is σ = 6756480000. Its totient is φ = 628404480.

The previous prime is 2150843089. The next prime is 2150843117. The reversal of 2150843112 is 2113480512.

2150843112 is a `hidden beast` number, since 2 + 1 + 508 + 43 + 112 = 666.

It is a super-2 number, since 2×21508431122 = 9252252184875689088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2150843117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9392214 + ... + 9392442.

It is an arithmetic number, because the mean of its divisors is an integer number (26392500).

Almost surely, 22150843112 is an apocalyptic number.

2150843112 is a gapful number since it is divisible by the number (22) 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 2150843112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378240000).

2150843112 is an abundant number, since it is smaller than the sum of its proper divisors (4605636888).

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

2150843112 is a wasteful number, since it uses less digits than its factorization.

2150843112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2150843112 is about 46377.1830968635. The cubic root of 2150843112 is about 1290.8315676745.

It can be divided in two parts, 21508 and 43112, that added together give a triangular number (64620 = T359).

The spelling of 2150843112 in words is "two billion, one hundred fifty million, eight hundred forty-three thousand, one hundred twelve".