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229976340 = 22351117103199
BaseRepresentation
bin11011011010100…
…10100100010100
3121000202000020020
431231102210110
5432333220330
634453105140
75461523646
oct1555224424
9530660206
10229976340
111088a76a0
12650281b0
1338851599
1422786896
15152cb210
hexdb52914

229976340 has 192 divisors, whose sum is σ = 754790400. Its totient is φ = 51701760.

The previous prime is 229976303. The next prime is 229976363. The reversal of 229976340 is 43679922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 229976292 and 229976301.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1155561 + ... + 1155759.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2229976340 is an apocalyptic number.

229976340 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 229976340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

229976340 is an abundant number, since it is smaller than the sum of its proper divisors (524814060).

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

229976340 is a wasteful number, since it uses less digits than its factorization.

229976340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 229976340 is about 15164.9708209413. The cubic root of 229976340 is about 612.6715576631.

The spelling of 229976340 in words is "two hundred twenty-nine million, nine hundred seventy-six thousand, three hundred forty".