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225244411392 = 29371113259191
BaseRepresentation
bin1101000111000110011…
…1001111011000000000
3210112101200002122201010
43101301213033120000
512142300032131032
6251250441240520
722162523623020
oct3216147173000
9715350078633
10225244411392
1187586664110
12377a1a93140
131831838c400
14ac8aacba80
155cd4824ccc
hex34719cf600

225244411392 has 960 divisors, whose sum is σ = 828152709120. Its totient is φ = 52811366400.

The previous prime is 225244411373. The next prime is 225244411411. The reversal of 225244411392 is 293114442522.

It is an interprime number because it is at equal distance from previous prime (225244411373) and next prime (225244411411).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 225244411392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1179290017 + ... + 1179290207.

It is an arithmetic number, because the mean of its divisors is an integer number (862659072).

Almost surely, 2225244411392 is an apocalyptic number.

225244411392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225244411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414076354560).

225244411392 is an abundant number, since it is smaller than the sum of its proper divisors (602908297728).

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

225244411392 is a wasteful number, since it uses less digits than its factorization.

225244411392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

It can be divided in two parts, 225244 and 411392, that added together give a palindrome (636636).

The spelling of 225244411392 in words is "two hundred twenty-five billion, two hundred forty-four million, four hundred eleven thousand, three hundred ninety-two".