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222230042342100 = 22325213116571629409
BaseRepresentation
bin110010100001110111110110…
…101110110111001011010100
31002010211222120202012012111200
4302201313312232313023110
5213112004111314421400
62104351023322232500
764544406421441632
oct6241676656671324
91063758522165450
10222230042342100
116489a260416671
1220b11807655730
1397002841c4b20
143cc3dc4720352
151aa5aa7a66b00
hexca1df6bb72d4

222230042342100 has 216 divisors, whose sum is σ = 750214666339320. Its totient is φ = 54698053386240.

The previous prime is 222230042342039. The next prime is 222230042342107. The reversal of 222230042342100 is 1243240032222.

222230042342100 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 300 + 4 + 2 + 342 + 10 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 43111541819844 + 179118500522256 = 6565938^2 + 13383516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222230042342107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135572196 + ... + 137201604.

Almost surely, 2222230042342100 is an apocalyptic number.

222230042342100 is a gapful number since it is divisible by the number (20) 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 222230042342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375107333169660).

222230042342100 is an abundant number, since it is smaller than the sum of its proper divisors (527984623997220).

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

222230042342100 is a wasteful number, since it uses less digits than its factorization.

222230042342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641099 (or 1641089 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 222230042342100 its reverse (1243240032222), we get a palindrome (223473282374322).

The spelling of 222230042342100 in words is "two hundred twenty-two trillion, two hundred thirty billion, forty-two million, three hundred forty-two thousand, one hundred".