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2162512420 = 225571718913
BaseRepresentation
bin1000000011100101…
…0101001000100100
312120201011000100121
42000321111020210
513412100344140
6554330051324
7104406023635
oct20071251044
95521130317
102162512420
11a0a755652
12504279b44
13286037563
141672bd88c
15c9cb464a
hex80e55224

2162512420 has 24 divisors (see below), whose sum is σ = 4542310584. Its totient is φ = 864807936.

The previous prime is 2162512409. The next prime is 2162512423. The reversal of 2162512420 is 242152612.

It can be written as a sum of positive squares in 4 ways, for example, as 831284224 + 1331228196 = 28832^2 + 36486^2 .

It is not an unprimeable number, because it can be changed into a prime (2162512423) 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 7 ways as a sum of consecutive naturals, for example, 104884 + ... + 123796.

It is an arithmetic number, because the mean of its divisors is an integer number (189262941).

Almost surely, 22162512420 is an apocalyptic number.

2162512420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2162512420 is an abundant number, since it is smaller than the sum of its proper divisors (2379798164).

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

2162512420 is a wasteful number, since it uses less digits than its factorization.

2162512420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24639 (or 24637 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2162512420 is about 46502.8216348213. The cubic root of 2162512420 is about 1293.1618091576.

The spelling of 2162512420 in words is "two billion, one hundred sixty-two million, five hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 5717 11434 18913 22868 28585 37826 57170 75652 94565 114340 189130 378260 108125621 216251242 432502484 540628105 1081256210 2162512420