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34222205540 = 2252324178893
BaseRepresentation
bin11111110111110011…
…010110101001100100
310021100000010011112002
4133313303112221210
51030041341034130
623415500344432
72321025642665
oct376763265144
9107300104462
1034222205540
11135715a75a6
126770b45118
1332c5047083
1419290c136c
15d54642b45
hex7f7cd6a64

34222205540 has 72 divisors (see below), whose sum is σ = 76960465848. Its totient is φ = 12774192640.

The previous prime is 34222205497. The next prime is 34222205587. The reversal of 34222205540 is 4550222243.

It can be written as a sum of positive squares in 4 ways, for example, as 9784384 + 34212421156 = 3128^2 + 184966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394334 + ... + 473226.

It is an arithmetic number, because the mean of its divisors is an integer number (1068895359).

Almost surely, 234222205540 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 34222205540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38480232924).

34222205540 is an abundant number, since it is smaller than the sum of its proper divisors (42738260308).

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

34222205540 is a wasteful number, since it uses less digits than its factorization.

34222205540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78989 (or 78964 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 34222205540 its reverse (4550222243), we get a palindrome (38772427783).

The spelling of 34222205540 in words is "thirty-four billion, two hundred twenty-two million, two hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 529 820 943 1058 1886 2116 2645 3772 4715 5290 9430 10580 18860 21689 43378 78893 86756 108445 157786 216890 315572 394465 433780 788930 1577860 1814539 3234613 3629078 6469226 7258156 9072695 12938452 16173065 18145390 32346130 36290780 41734397 64692260 74396099 83468794 148792198 166937588 208671985 297584396 371980495 417343970 743960990 834687940 1487921980 1711110277 3422220554 6844441108 8555551385 17111102770 34222205540