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2255064438 = 2311195093533
BaseRepresentation
bin1000011001101001…
…1000110101110110
312211011022010212010
42012122120311312
514104244030223
61011433505050
7106611505614
oct20632306566
95734263763
102255064438
11a57a1a320
1252b272186
1329c270c73
141756d26b4
15d2e97393
hex86698d76

2255064438 has 64 divisors (see below), whose sum is σ = 5190739200. Its totient is φ = 645932160.

The previous prime is 2255064431. The next prime is 2255064473. The reversal of 2255064438 is 8344605522.

2255064438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2255064396 and 2255064405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255064431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636520 + ... + 640052.

It is an arithmetic number, because the mean of its divisors is an integer number (81105300).

Almost surely, 22255064438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255064438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595369600).

2255064438 is an abundant number, since it is smaller than the sum of its proper divisors (2935674762).

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

2255064438 is a wasteful number, since it uses less digits than its factorization.

2255064438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077.

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 2255064438 is about 47487.5187601963. The cubic root of 2255064438 is about 1311.3531146223.

The spelling of 2255064438 in words is "two billion, two hundred fifty-five million, sixty-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 509 627 1018 1254 1527 3054 3533 5599 7066 9671 10599 11198 16797 19342 21198 29013 33594 38863 58026 67127 77726 106381 116589 134254 201381 212762 233178 319143 402762 638286 738397 1476794 1798297 2215191 3596594 4430382 5394891 10789782 19781267 34167643 39562534 59343801 68335286 102502929 118687602 205005858 375844073 751688146 1127532219 2255064438