Search a number
-
+
2223198432936 = 233213172310756773
BaseRepresentation
bin100000010110100000111…
…100111110111010101000
321212112110112002000212100
4200112200330332322220
5242411102244323221
64421153454013400
7316422633611235
oct40264074767250
97775415060770
102223198432936
11787942614008
122baa547a7260
13131853a9b630
147986395478c
153cc6cdab926
hex205a0f3eea8

2223198432936 has 384 divisors, whose sum is σ = 7231354341120. Its totient is φ = 610063736832.

The previous prime is 2223198432863. The next prime is 2223198432937. The reversal of 2223198432936 is 6392348913222.

2223198432936 is a `hidden beast` number, since 2 + 2 + 2 + 31 + 98 + 432 + 93 + 6 = 666.

It is a super-2 number, since 2×22231984329362 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2223198432937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39131046 + ... + 39187818.

It is an arithmetic number, because the mean of its divisors is an integer number (18831651930).

Almost surely, 22223198432936 is an apocalyptic number.

2223198432936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223198432936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615677170560).

2223198432936 is an abundant number, since it is smaller than the sum of its proper divisors (5008155908184).

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

2223198432936 is a wasteful number, since it uses less digits than its factorization.

2223198432936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56945 (or 56938 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 2223198432936 in words is "two trillion, two hundred twenty-three billion, one hundred ninety-eight million, four hundred thirty-two thousand, nine hundred thirty-six".