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2125243890 = 2325711734201
BaseRepresentation
bin111111010101100…
…1010010111110010
312111010000120112200
41332223022113302
513323030301030
6550515204030
7103444163220
oct17653122762
95433016480
102125243890
119a0710210
124b38a6616
1327b3b9083
1416237bb10
15c68a1d60
hex7eaca5f2

2125243890 has 192 divisors, whose sum is σ = 6985135872. Its totient is φ = 435456000.

The previous prime is 2125243867. The next prime is 2125243891. The reversal of 2125243890 is 983425212.

It is a happy number.

2125243890 is a `hidden beast` number, since 2 + 12 + 524 + 38 + 90 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2125243891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503790 + ... + 507990.

It is an arithmetic number, because the mean of its divisors is an integer number (36380916).

Almost surely, 22125243890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125243890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492567936).

2125243890 is an abundant number, since it is smaller than the sum of its proper divisors (4859891982).

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

2125243890 is a wasteful number, since it uses less digits than its factorization.

2125243890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2125243890 is about 46100.3675690335. The cubic root of 2125243890 is about 1285.6899785352.

The spelling of 2125243890 in words is "two billion, one hundred twenty-five million, two hundred forty-three thousand, eight hundred ninety".