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229146840 = 233351319859
BaseRepresentation
bin11011010100010…
…00000011011000
3120222011212101000
431222020003120
5432130144330
634423225000
75451500406
oct1552100330
9528155330
10229146840
1110839045a
12648a8160
1338620b60
142260c476
15151b5560
hexda880d8

229146840 has 256 divisors, whose sum is σ = 866880000. Its totient is φ = 53374464.

The previous prime is 229146839. The next prime is 229146877. The reversal of 229146840 is 48641922.

229146840 is digitally balanced in base 3, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 229146795 and 229146804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266331 + ... + 267189.

It is an arithmetic number, because the mean of its divisors is an integer number (3386250).

Almost surely, 2229146840 is an apocalyptic number.

229146840 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 229146840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433440000).

229146840 is an abundant number, since it is smaller than the sum of its proper divisors (637733160).

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

229146840 is a wasteful number, since it uses less digits than its factorization.

229146840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 229146840 is about 15137.5969030755. The cubic root of 229146840 is about 611.9340567164.

The spelling of 229146840 in words is "two hundred twenty-nine million, one hundred forty-six thousand, eight hundred forty".