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226041010140 = 2235116714893433
BaseRepresentation
bin1101001010000100011…
…0000001011111011100
3210121110012001001202110
43102201012001133130
512200412444311030
6251501455154020
722221335612241
oct3224106013734
9717405031673
10226041010140
1187955291590
1237984815910
131841442110a
14ad2480d5c8
155d2e7291b0
hex34a11817dc

226041010140 has 192 divisors, whose sum is σ = 701432686080. Its totient is φ = 53927976960.

The previous prime is 226041010123. The next prime is 226041010141. The reversal of 226041010140 is 41010140622.

It is a happy number.

It is a super-2 number, since 2×2260410101402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226041010141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65841864 + ... + 65845296.

It is an arithmetic number, because the mean of its divisors is an integer number (3653295240).

Almost surely, 2226041010140 is an apocalyptic number.

226041010140 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 226041010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350716343040).

226041010140 is an abundant number, since it is smaller than the sum of its proper divisors (475391675940).

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

226041010140 is a wasteful number, since it uses less digits than its factorization.

226041010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 226041010140 its reverse (41010140622), we get a palindrome (267051150762).

The spelling of 226041010140 in words is "two hundred twenty-six billion, forty-one million, ten thousand, one hundred forty".