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225532033344 = 26334310932777
BaseRepresentation
bin1101001000001011000…
…0011011100101000000
3210120010201022100212000
43102002300123211000
512143342200031334
6251335154104000
722202615440002
oct3220260334500
9716121270760
10225532033344
1187713a53802
123786227b000
1318362b45107
14acb6d9c372
155ceebdb299
hex3482c1b940

225532033344 has 224 divisors, whose sum is σ = 679306784640. Its totient is φ = 73335435264.

The previous prime is 225532033327. The next prime is 225532033351. The reversal of 225532033344 is 443330235522.

It is a happy number.

225532033344 is a `hidden beast` number, since 2 + 255 + 32 + 0 + 33 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225532033299 and 225532033308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81212884 + ... + 81215660.

Almost surely, 2225532033344 is an apocalyptic number.

225532033344 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 225532033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339653392320).

225532033344 is an abundant number, since it is smaller than the sum of its proper divisors (453774751296).

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

225532033344 is a wasteful number, since it uses less digits than its factorization.

225532033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 225532033344 its reverse (443330235522), we get a palindrome (668862268866).

The spelling of 225532033344 in words is "two hundred twenty-five billion, five hundred thirty-two million, thirty-three thousand, three hundred forty-four".