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229144032 = 25331323887
BaseRepresentation
bin11011010100001…
…11010111100000
3120222011201112000
431222013113200
5432130102112
634423204000
75451456255
oct1552072740
9528151460
10229144032
11108389337
12648a6600
133861c7b0
142260b42c
15151b47dc
hexda875e0

229144032 has 192 divisors, whose sum is σ = 751887360. Its totient is φ = 67364352.

The previous prime is 229143991. The next prime is 229144043. The reversal of 229144032 is 230441922.

229144032 is digitally balanced in base 2 and base 3, because in such bases 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 229143987 and 229144005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257893 + ... + 258779.

It is an arithmetic number, because the mean of its divisors is an integer number (3916080).

Almost surely, 2229144032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375943680).

229144032 is an abundant number, since it is smaller than the sum of its proper divisors (522743328).

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

229144032 is a wasteful number, since it uses less digits than its factorization.

229144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 229144032 is about 15137.5041535915. The cubic root of 229144032 is about 611.9315571288.

Adding to 229144032 its reverse (230441922), we get a palindrome (459585954).

The spelling of 229144032 in words is "two hundred twenty-nine million, one hundred forty-four thousand, thirty-two".