Search a number
-
+
200001222221112 = 233313811190146199
BaseRepresentation
bin101101011110011001101001…
…110011100001110100111000
3222020010221010001110022202000
4231132121221303201310320
5202203310000342033422
61545211143145541000
760061416506112414
oct5536315163416470
9866127101408660
10200001222221112
11587aa050a17144
121a5216b07a4760
13877a05a563740
14375617a099d44
15181c756518cac
hexb5e669ce1d38

200001222221112 has 256 divisors, whose sum is σ = 599360065920000. Its totient is φ = 61429295808000.

The previous prime is 200001222221111. The next prime is 200001222221123. The reversal of 200001222221112 is 211122222100002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200001222221111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4329101389 + ... + 4329147587.

It is an arithmetic number, because the mean of its divisors is an integer number (2341250257500).

Almost surely, 2200001222221112 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 200001222221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299680032960000).

200001222221112 is an abundant number, since it is smaller than the sum of its proper divisors (399358843698888).

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

200001222221112 is a wasteful number, since it uses less digits than its factorization.

200001222221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48939 (or 48929 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200001222221112 its reverse (211122222100002), we get a palindrome (411123444321114).

The spelling of 200001222221112 in words is "two hundred trillion, one billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".