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34222410664 = 23137124119231
BaseRepresentation
bin11111110111110100…
…001000101110101000
310021100000111120220021
4133313310020232220
51030041414120124
623415505010224
72321030456011
oct376764105650
9107300446807
1034222410664
1113571727722
126771023974
1332c50b9550
141929136008
15d546837e4
hex7f7d08ba8

34222410664 has 64 divisors (see below), whose sum is σ = 70370657280. Its totient is φ = 15507072000.

The previous prime is 34222410617. The next prime is 34222410701. The reversal of 34222410664 is 46601422243.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1769929 + ... + 1789159.

It is an arithmetic number, because the mean of its divisors is an integer number (1099541520).

Almost surely, 234222410664 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 34222410664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35185328640).

34222410664 is an abundant number, since it is smaller than the sum of its proper divisors (36148246616).

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

34222410664 is a wasteful number, since it uses less digits than its factorization.

34222410664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19562 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 34222410664 in words is "thirty-four billion, two hundred twenty-two million, four hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 71 104 142 241 284 482 568 923 964 1846 1928 3133 3692 6266 7384 12532 17111 19231 25064 34222 38462 68444 76924 136888 153848 222443 250003 444886 500006 889772 1000012 1365401 1779544 2000024 2730802 4634671 5461604 9269342 10923208 17750213 18538684 35500426 37077368 60250723 71000852 120501446 142001704 241002892 329061641 482005784 658123282 1316246564 2632493128 4277801333 8555602666 17111205332 34222410664