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221234413240 = 23555191002149
BaseRepresentation
bin1100111000001010011…
…0010011111010111000
3210011001012120122101001
43032002212103322320
512111042002210430
6245344513134344
721661252325221
oct3160246237270
9704035518331
10221234413240
1185909071155
1236a62b5a3b4
1317b29679c39
14a9ca2d4248
155b4c7773ca
hex3382993eb8

221234413240 has 32 divisors (see below), whose sum is σ = 497868120000. Its totient is φ = 88477642624.

The previous prime is 221234413217. The next prime is 221234413249. The reversal of 221234413240 is 42314432122.

221234413240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221234413199 and 221234413208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221234413249) 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 7 ways as a sum of consecutive naturals, for example, 280315 + ... + 721834.

It is an arithmetic number, because the mean of its divisors is an integer number (15558378750).

Almost surely, 2221234413240 is an apocalyptic number.

221234413240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221234413240 is an abundant number, since it is smaller than the sum of its proper divisors (276633706760).

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

221234413240 is a wasteful number, since it uses less digits than its factorization.

221234413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007679 (or 1007675 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 221234413240 its reverse (42314432122), we get a palindrome (263548845362).

The spelling of 221234413240 in words is "two hundred twenty-one billion, two hundred thirty-four million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 5519 11038 22076 27595 44152 55190 110380 220760 1002149 2004298 4008596 5010745 8017192 10021490 20042980 40085960 5530860331 11061720662 22123441324 27654301655 44246882648 55308603310 110617206620 221234413240