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213224125 = 532337321
BaseRepresentation
bin11001011010110…
…00101010111101
3112212012220111211
430231120222331
5414041133000
633054044421
75166242452
oct1455305275
9485186454
10213224125
11aa3a5494
125b4a9711
133523752a
1420465829
1513abc7ba
hexcb58abd

213224125 has 16 divisors (see below), whose sum is σ = 267282288. Its totient is φ = 169824000.

The previous prime is 213224119. The next prime is 213224177. The reversal of 213224125 is 521422312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 177475684 + 35748441 = 13322^2 + 5979^2 .

It is not a de Polignac number, because 213224125 - 23 = 213224117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213224096 and 213224105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25465 + ... + 32785.

It is an arithmetic number, because the mean of its divisors is an integer number (16705143).

Almost surely, 2213224125 is an apocalyptic number.

213224125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213224125 is a deficient number, since it is larger than the sum of its proper divisors (54058163).

213224125 is an equidigital number, since it uses as much as digits as its factorization.

213224125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569 (or 7559 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 213224125 is about 14602.1958965082. The cubic root of 213224125 is about 597.4186557329.

Adding to 213224125 its reverse (521422312), we get a palindrome (734646437).

The spelling of 213224125 in words is "two hundred thirteen million, two hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 125 233 1165 5825 7321 29125 36605 183025 915125 1705793 8528965 42644825 213224125