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245141200 = 2452612853
BaseRepresentation
bin11101001110010…
…00111011010000
3122002021110111201
432213020323100
51000224004300
640154120544
76034444243
oct1647107320
9562243451
10245141200
11116415237
126a120154
133ba30c85
14247b325a
15167c466a
hexe9c8ed0

245141200 has 30 divisors (see below), whose sum is σ = 588952694. Its totient is φ = 98056320.

The previous prime is 245141189. The next prime is 245141201. The reversal of 245141200 is 2141542.

245141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 63107136 + 182034064 = 7944^2 + 13492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245141201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306027 + ... + 306826.

Almost surely, 2245141200 is an apocalyptic number.

245141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245141200 is an abundant number, since it is smaller than the sum of its proper divisors (343811494).

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

245141200 is a wasteful number, since it uses less digits than its factorization.

245141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612871 (or 612860 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 245141200 is about 15656.9856613590. The cubic root of 245141200 is about 625.8526602239.

Adding to 245141200 its reverse (2141542), we get a palindrome (247282742).

The spelling of 245141200 in words is "two hundred forty-five million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 612853 1225706 2451412 3064265 4902824 6128530 9805648 12257060 15321325 24514120 30642650 49028240 61285300 122570600 245141200