Search a number
-
+
225115402158 = 23235335428927
BaseRepresentation
bin1101000110100111101…
…1000110111110101110
3210112001200100022022100
43101221323012332232
512142014020332113
6251225552155530
722156366226553
oct3215173067656
9715050308270
10225115402158
118751a859609
1237766838ba6
13182c772c89a
14ac77908a2a
155cc833ed73
hex3469ec6fae

225115402158 has 24 divisors (see below), whose sum is σ = 489131779968. Its totient is φ = 74825891712.

The previous prime is 225115402151. The next prime is 225115402199. The reversal of 225115402158 is 851204511522.

225115402158 is a `hidden beast` number, since 22 + 511 + 54 + 0 + 21 + 58 = 666.

It is a super-3 number, since 3×2251154021583 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225115402151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17708110 + ... + 17720817.

It is an arithmetic number, because the mean of its divisors is an integer number (20380490832).

Almost surely, 2225115402158 is an apocalyptic number.

225115402158 is an abundant number, since it is smaller than the sum of its proper divisors (264016377810).

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

225115402158 is a wasteful number, since it uses less digits than its factorization.

225115402158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35429288 (or 35429285 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 225115402158 in words is "two hundred twenty-five billion, one hundred fifteen million, four hundred two thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 353 706 1059 2118 3177 6354 35428927 70857854 106286781 212573562 318860343 637720686 12506411231 25012822462 37519233693 75038467386 112557701079 225115402158