Search a number
-
+
229731840 = 2932513259
BaseRepresentation
bin11011011000101…
…10111000000000
3121000021120211200
431230112320000
5432302404330
634443541200
75456455062
oct1554267000
9530246750
10229731840
1110874aa28
1264b2a800
1338797200
1422721732
151527da60
hexdb16e00

229731840 has 360 divisors, whose sum is σ = 876138120. Its totient is φ = 55590912.

The previous prime is 229731787. The next prime is 229731841. The reversal of 229731840 is 48137922.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 229731795 and 229731804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229731841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893731 + ... + 3893789.

It is an arithmetic number, because the mean of its divisors is an integer number (2433717).

Almost surely, 2229731840 is an apocalyptic number.

229731840 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 229731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438069060).

229731840 is an abundant number, since it is smaller than the sum of its proper divisors (646406280).

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

229731840 is a wasteful number, since it uses less digits than its factorization.

229731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 229731840 is about 15156.9073362609. The cubic root of 229731840 is about 612.4543595035.

The spelling of 229731840 in words is "two hundred twenty-nine million, seven hundred thirty-one thousand, eight hundred forty".