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225281772144 = 2432111319593971
BaseRepresentation
bin1101000111001111010…
…1110000101001110000
3210112111021101210000200
43101303311300221300
512142334113202034
6251254254115200
722163456316342
oct3216365605160
9715437353020
10225281772144
11875a5761870
12377b24abb00
1318323040870
14ac91a55292
155cd7c54a99
hex3473d70a70

225281772144 has 480 divisors, whose sum is σ = 781802461440. Its totient is φ = 59537203200.

The previous prime is 225281772119. The next prime is 225281772151. The reversal of 225281772144 is 441277182522.

225281772144 is a `hidden beast` number, since 2 + 2 + 528 + 17 + 72 + 1 + 44 = 666.

225281772144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2252817721442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225281772144.

It is a congruent number.

It is an unprimeable number.

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, 232009579 + ... + 232010549.

It is an arithmetic number, because the mean of its divisors is an integer number (1628755128).

Almost surely, 2225281772144 is an apocalyptic number.

225281772144 is a gapful number since it is divisible by the number (24) 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 225281772144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390901230720).

225281772144 is an abundant number, since it is smaller than the sum of its proper divisors (556520689296).

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

225281772144 is a wasteful number, since it uses less digits than its factorization.

225281772144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1612 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The spelling of 225281772144 in words is "two hundred twenty-five billion, two hundred eighty-one million, seven hundred seventy-two thousand, one hundred forty-four".