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34000287222 = 23114321156779
BaseRepresentation
bin11111101010100100…
…110011010111110110
310020202112112112211010
4133222210303113312
51024113033142342
623341452053050
72312362446546
oct375244632766
9106675475733
1034000287222
1113468304030
12670a764186
13328b087465
141907835326
15d3ee0929c
hex7ea9335f6

34000287222 has 64 divisors (see below), whose sum is σ = 76268712960. Its totient is φ = 10015639200.

The previous prime is 34000287221. The next prime is 34000287241. The reversal of 34000287222 is 22278200043.

It is a super-3 number, since 3×340002872223 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34000287222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000287221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570429 + ... + 627207.

It is an arithmetic number, because the mean of its divisors is an integer number (1191698640).

Almost surely, 234000287222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000287222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38134356480).

34000287222 is an abundant number, since it is smaller than the sum of its proper divisors (42268425738).

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

34000287222 is a wasteful number, since it uses less digits than its factorization.

34000287222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57049.

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 34000287222 its reverse (22278200043), we get a palindrome (56278487265).

The spelling of 34000287222 in words is "thirty-four billion, two hundred eighty-seven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 211 258 422 473 633 946 1266 1419 2321 2838 4642 6963 9073 13926 18146 27219 54438 56779 99803 113558 170337 199606 299409 340674 598818 624569 1249138 1873707 2441497 3747414 4882994 7324491 11980369 14648982 23960738 26856467 35941107 53712934 71882214 80569401 131784059 161138802 263568118 395352177 515155867 790704354 1030311734 1545467601 3090935202 5666714537 11333429074 17000143611 34000287222