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226536100140 = 2235729127146449
BaseRepresentation
bin1101001011111010011…
…0101001000100101100
3210122201200122020120010
43102332212221010230
512202421220201030
6252022542453220
722236530036310
oct3227646510454
9718650566503
10226536100140
11880897a4a79
1237aa2594210
1318492b7738c
14ad70487b40
155d5ce226b0
hex34be9a912c

226536100140 has 192 divisors, whose sum is σ = 755822592000. Its totient is φ = 49600180224.

The previous prime is 226536100129. The next prime is 226536100163. The reversal of 226536100140 is 41001635622.

226536100140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 226536100098 and 226536100107.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1473636 + ... + 1620084.

It is an arithmetic number, because the mean of its divisors is an integer number (3936576000).

Almost surely, 2226536100140 is an apocalyptic number.

226536100140 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 226536100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377911296000).

226536100140 is an abundant number, since it is smaller than the sum of its proper divisors (529286491860).

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

226536100140 is a wasteful number, since it uses less digits than its factorization.

226536100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146624 (or 146622 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 226536100140 its reverse (41001635622), we get a palindrome (267537735762).

The spelling of 226536100140 in words is "two hundred twenty-six billion, five hundred thirty-six million, one hundred thousand, one hundred forty".