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34222222000 = 2453106316097
BaseRepresentation
bin11111110111110011…
…011010101010110000
310021100000011000002201
4133313303122222300
51030041342101000
623415500552544
72321026041661
oct376763325260
9107300130081
1034222222000
11135716089aa
126770b52754
1332c5051705
1419290c7368
15d5464796a
hex7f7cdaab0

34222222000 has 80 divisors (see below), whose sum is σ = 82832323392. Its totient is φ = 13675161600.

The previous prime is 34222221991. The next prime is 34222222037. The reversal of 34222222000 is 22222243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2117952 + ... + 2134048.

Almost surely, 234222222000 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 34222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41416161696).

34222222000 is an abundant number, since it is smaller than the sum of its proper divisors (48610101392).

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

34222222000 is a wasteful number, since it uses less digits than its factorization.

34222222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17183 (or 17167 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 34222222000 its reverse (22222243), we get a palindrome (34244444243).

The spelling of 34222222000 in words is "thirty-four billion, two hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1063 2000 2126 4252 5315 8504 10630 16097 17008 21260 26575 32194 42520 53150 64388 80485 85040 106300 128776 132875 160970 212600 257552 265750 321940 402425 425200 531500 643880 804850 1063000 1287760 1609700 2012125 2126000 3219400 4024250 6438800 8048500 16097000 17111111 32194000 34222222 68444444 85555555 136888888 171111110 273777776 342222220 427777775 684444440 855555550 1368888880 1711111100 2138888875 3422222200 4277777750 6844444400 8555555500 17111111000 34222222000