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227242055040 = 273573111319127
BaseRepresentation
bin1101001110100010101…
…1101001010110000000
3210201112220000110121220
43103220223221112000
512210342431230130
6252221001515040
722263161412000
oct3235053512600
9721486013556
10227242055040
1188411241380
123805aaa2a80
13185761c0080
14adda132000
155d9edbe410
hex34e8ae9580

227242055040 has 2048 divisors, whose sum is σ = 1052835840000. Its totient is φ = 40967700480.

The previous prime is 227242055023. The next prime is 227242055069. The reversal of 227242055040 is 40550242722.

227242055040 is digitally balanced in base 3, 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 227242054992 and 227242055010.

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 255 ways as a sum of consecutive naturals, for example, 1789307457 + ... + 1789307583.

It is an arithmetic number, because the mean of its divisors is an integer number (514080000).

Almost surely, 2227242055040 is an apocalyptic number.

227242055040 is a gapful number since it is divisible by the number (20) 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 227242055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526417920000).

227242055040 is an abundant number, since it is smaller than the sum of its proper divisors (825593784960).

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

227242055040 is a wasteful number, since it uses less digits than its factorization.

227242055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

Adding to 227242055040 its reverse (40550242722), we get a palindrome (267792297762).

The spelling of 227242055040 in words is "two hundred twenty-seven billion, two hundred forty-two million, fifty-five thousand, forty".