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225300343240 = 2357804644083
BaseRepresentation
bin1101000111010011110…
…0100110100111001000
3210112112120100021210001
43101310330212213020
512142403341440430
6251300200132344
722164103214440
oct3216474464710
9715476307701
10225300343240
1187605196585
12377b87670b4
1318326b4378b
14ac942cb120
155cd96c23ca
hex3474f269c8

225300343240 has 32 divisors (see below), whose sum is σ = 579343740480. Its totient is φ = 77245831872.

The previous prime is 225300343201. The next prime is 225300343283. The reversal of 225300343240 is 42343003522.

225300343240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 225300343199 and 225300343208.

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 7 ways as a sum of consecutive naturals, for example, 402321762 + ... + 402322321.

It is an arithmetic number, because the mean of its divisors is an integer number (18104491890).

Almost surely, 2225300343240 is an apocalyptic number.

225300343240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225300343240 is an abundant number, since it is smaller than the sum of its proper divisors (354043397240).

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

225300343240 is a wasteful number, since it uses less digits than its factorization.

225300343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804644101 (or 804644097 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 225300343240 its reverse (42343003522), we get a palindrome (267643346762).

The spelling of 225300343240 in words is "two hundred twenty-five billion, three hundred million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 804644083 1609288166 3218576332 4023220415 5632508581 6437152664 8046440830 11265017162 16092881660 22530034324 28162542905 32185763320 45060068648 56325085810 112650171620 225300343240