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223332000140041 = 1325344955531837
BaseRepresentation
bin110010110001111010001000…
…100010010000101100001001
31002021202022221002012102010021
4302301322020202100230021
5213233032414013440131
62110553145434220441
765020130105252122
oct6261721042205411
91067668832172107
10223332000140041
116518462990a191
122106b2a2b84721
13978016a78c500
143d2147dc19049
151ac45a0340e11
hexcb1e88890b09

223332000140041 has 24 divisors (see below), whose sum is σ = 246944530402200. Its totient is φ = 201812465627136.

The previous prime is 223332000140021. The next prime is 223332000140063. The reversal of 223332000140041 is 140041000233322.

It can be written as a sum of positive squares in 12 ways, for example, as 27465565377600 + 195866434762441 = 5240760^2 + 13995229^2 .

It is not a de Polignac number, because 223332000140041 - 29 = 223332000139529 is a prime.

It is a super-2 number, since 2×2233320001400412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223332000139988 and 223332000140015.

It is not an unprimeable number, because it can be changed into a prime (223332000140021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23744226 + ... + 31787611.

It is an arithmetic number, because the mean of its divisors is an integer number (10289355433425).

Almost surely, 2223332000140041 is an apocalyptic number.

It is an amenable number.

223332000140041 is a deficient number, since it is larger than the sum of its proper divisors (23612530262159).

223332000140041 is a wasteful number, since it uses less digits than its factorization.

223332000140041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55532365 (or 55532352 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 223332000140041 its reverse (140041000233322), we get a palindrome (363373000373363).

The spelling of 223332000140041 in words is "two hundred twenty-three trillion, three hundred thirty-two billion, one hundred forty thousand, forty-one".

Divisors: 1 13 53 169 449 689 5837 8957 23797 75881 309361 4021693 55531837 721913881 2943187361 9384880453 24933794813 38261435693 324139332569 497398664009 1321491125089 4213811323397 17179384626157 223332000140041