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225391689342 = 23343103393967
BaseRepresentation
bin1101000111101001100…
…1000011111001111110
3210112202221020011002000
43101322121003321332
512143100233024332
6251313222043130
722166262514551
oct3217231037176
9715687204060
10225391689342
1187651807226
12378232794a6
131833ca47321
14aca24a8698
155ce2717b7c
hex347a643e7e

225391689342 has 64 divisors (see below), whose sum is σ = 513020175360. Its totient is φ = 73311521472.

The previous prime is 225391689301. The next prime is 225391689343. The reversal of 225391689342 is 243986193522.

225391689342 is a `hidden beast` number, since 2 + 2 + 539 + 1 + 68 + 9 + 3 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225391689343) 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, 2351643 + ... + 2445609.

It is an arithmetic number, because the mean of its divisors is an integer number (8015940240).

Almost surely, 2225391689342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225391689342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256510087680).

225391689342 is an abundant number, since it is smaller than the sum of its proper divisors (287628486018).

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

225391689342 is a wasteful number, since it uses less digits than its factorization.

225391689342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95054 (or 95048 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 225391689342 in words is "two hundred twenty-five billion, three hundred ninety-one million, six hundred eighty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1033 1161 2066 2322 3099 6198 9297 18594 27891 44419 55782 88838 93967 133257 187934 266514 281901 399771 563802 799542 845703 1199313 1691406 2398626 2537109 4040581 5074218 8081162 12121743 24243486 36365229 72730458 97067911 109095687 194135822 218191374 291203733 582407466 873611199 1747222398 2620833597 4173920173 5241667194 8347840346 12521760519 25043521038 37565281557 75130563114 112695844671 225391689342