Search a number
-
+
229682880 = 26325711393
BaseRepresentation
bin11011011000010…
…10111011000000
3121000012002200100
431230022323000
5432244323010
634442522400
75456162250
oct1554127300
9530162610
10229682880
11108717169
1264b06400
133877ab3b
142270b960
151526e2c0
hexdb0aec0

229682880 has 168 divisors, whose sum is σ = 902951712. Its totient is φ = 52494336.

The previous prime is 229682879. The next prime is 229682911. The reversal of 229682880 is 88286922.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14464 + ... + 25856.

Almost surely, 2229682880 is an apocalyptic number.

229682880 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 229682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451475856).

229682880 is an abundant number, since it is smaller than the sum of its proper divisors (673268832).

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

229682880 is a wasteful number, since it uses less digits than its factorization.

229682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11423 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 229682880 is about 15155.2921449901. The cubic root of 229682880 is about 612.4108480543.

The spelling of 229682880 in words is "two hundred twenty-nine million, six hundred eighty-two thousand, eight hundred eighty".