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225433124 = 227217292333
BaseRepresentation
bin11010110111111…
…01011000100100
3120201012012002222
431123331120210
5430202324444
634211451512
75405102300
oct1533753044
9521165088
10225433124
11106284274
12635b6b98
13379206a7
1421d22d00
1514bceeee
hexd6fd624

225433124 has 72 divisors (see below), whose sum is σ = 502883640. Its totient is φ = 87757824.

The previous prime is 225433121. The next prime is 225433127. The reversal of 225433124 is 421334522.

It is an interprime number because it is at equal distance from previous prime (225433121) and next prime (225433127).

It can be written as a sum of positive squares in 4 ways, for example, as 46676224 + 178756900 = 6832^2 + 13370^2 .

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 225433093 and 225433102.

It is not an unprimeable number, because it can be changed into a prime (225433121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95462 + ... + 97794.

It is an arithmetic number, because the mean of its divisors is an integer number (6984495).

Almost surely, 2225433124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225433124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251441820).

225433124 is an abundant number, since it is smaller than the sum of its proper divisors (277450516).

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

225433124 is a wasteful number, since it uses less digits than its factorization.

225433124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2388 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 225433124 is about 15014.4305253313. The cubic root of 225433124 is about 608.6102231267.

Adding to 225433124 its reverse (421334522), we get a palindrome (646767646).

The spelling of 225433124 in words is "two hundred twenty-five million, four hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 29 34 49 58 68 98 116 119 196 203 238 406 476 493 812 833 986 1421 1666 1972 2333 2842 3332 3451 4666 5684 6902 9332 13804 16331 24157 32662 39661 48314 65324 67657 79322 96628 114317 135314 158644 228634 270628 277627 457268 473599 555254 947198 1110508 1150169 1894396 1943389 2300338 3315193 3886778 4600676 6630386 7773556 8051183 13260772 16102366 32204732 56358281 112716562 225433124