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225818656 = 2572791823
BaseRepresentation
bin11010111010110…
…11100000100000
3120201220202221221
431131123200200
5430302144111
634224024424
75411266300
oct1535334040
9521822857
10225818656
11106517998
1263762114
1337a2700b
1421dc3600
1514c59371
hexd75b820

225818656 has 72 divisors (see below), whose sum is σ = 523998720. Its totient is φ = 95501952.

The previous prime is 225818653. The next prime is 225818657. The reversal of 225818656 is 656818522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225818653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122961 + ... + 124783.

It is an arithmetic number, because the mean of its divisors is an integer number (7277760).

Almost surely, 2225818656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225818656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261999360).

225818656 is an abundant number, since it is smaller than the sum of its proper divisors (298180064).

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

225818656 is a wasteful number, since it uses less digits than its factorization.

225818656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1911 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The square root of 225818656 is about 15027.2637562532. The cubic root of 225818656 is about 608.9569705803.

The spelling of 225818656 in words is "two hundred twenty-five million, eight hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 79 98 112 158 196 224 316 392 553 632 784 1106 1264 1568 1823 2212 2528 3646 3871 4424 7292 7742 8848 12761 14584 15484 17696 25522 29168 30968 51044 58336 61936 89327 102088 123872 144017 178654 204176 288034 357308 408352 576068 714616 1008119 1152136 1429232 2016238 2304272 2858464 4032476 4608544 7056833 8064952 14113666 16129904 28227332 32259808 56454664 112909328 225818656