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234622225116 = 2232191451236399
BaseRepresentation
bin1101101010000010010…
…0110000101011011100
3211102121020002221201100
43122200210300223130
512321001242200431
6255441200313100
722644105002556
oct3324044605334
9742536087640
10234622225116
1190559147394
123957a612790
13191811b3706
14b4da3704d6
156182c814e6
hex36a0930adc

234622225116 has 72 divisors (see below), whose sum is σ = 624720096000. Its totient is φ = 74039853600.

The previous prime is 234622225099. The next prime is 234622225121. The reversal of 234622225116 is 611522226432.

234622225116 is a `hidden beast` number, since 2 + 3 + 4 + 622 + 2 + 25 + 1 + 1 + 6 = 666.

234622225116 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 (36).

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 23 ways as a sum of consecutive naturals, for example, 874285 + ... + 1110683.

It is an arithmetic number, because the mean of its divisors is an integer number (8676668000).

Almost surely, 2234622225116 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 234622225116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312360048000).

234622225116 is an abundant number, since it is smaller than the sum of its proper divisors (390097870884).

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

234622225116 is a wasteful number, since it uses less digits than its factorization.

234622225116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237879 (or 237874 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 234622225116 in words is "two hundred thirty-four billion, six hundred twenty-two million, two hundred twenty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1451 2902 4353 5804 8706 13059 17412 26118 27569 52236 55138 82707 110276 165414 236399 248121 330828 472798 496242 709197 945596 992484 1418394 2127591 2836788 4255182 4491581 8510364 8983162 13474743 17966324 26949486 40424229 53898972 80848458 161696916 343014949 686029898 1029044847 1372059796 2058089694 3087134541 4116179388 6174269082 6517284031 12348538164 13034568062 19551852093 26069136124 39103704186 58655556279 78207408372 117311112558 234622225116