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2232322232322 = 23721337115313691
BaseRepresentation
bin100000011111000000110…
…001100001000000000010
321220102000101010001201010
4200133000301201000002
5243033243442413242
64425303100421350
7320165011616400
oct40370061410002
97812011101633
102232322232322
117907a4781586
12300780247856
131326790a5cb0
147a08b594470
153d103d8e89c
hex207c0c61002

2232322232322 has 192 divisors, whose sum is σ = 5749637088384. Its totient is φ = 572293693440.

The previous prime is 2232322232293. The next prime is 2232322232363.

2232322232322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22323222323223 (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2232322232322.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163043497 + ... + 163057187.

It is an arithmetic number, because the mean of its divisors is an integer number (29946026502).

Almost surely, 22232322232322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232322232322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874818544192).

2232322232322 is an abundant number, since it is smaller than the sum of its proper divisors (3517314856062).

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

2232322232322 is a wasteful number, since it uses less digits than its factorization.

2232322232322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14913 (or 14906 counting only the distinct ones).

The product of its digits is 41472, while the sum is 30.

The spelling of 2232322232322 in words is "two trillion, two hundred thirty-two billion, three hundred twenty-two million, two hundred thirty-two thousand, three hundred twenty-two".