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229646340 = 223457211263
BaseRepresentation
bin11011011000000…
…10000000000100
3121000010020120000
431230002000010
5432242140330
634442041300
75455650600
oct1554020004
9530106500
10229646340
111086a1770
1264aa9230
1338767311
14226dc500
1515263560
hexdb02004

229646340 has 360 divisors, whose sum is σ = 917687232. Its totient is φ = 47537280.

The previous prime is 229646321. The next prime is 229646377. The reversal of 229646340 is 43646922.

229646340 is a `hidden beast` number, since 2 + 2 + 9 + 646 + 3 + 4 + 0 = 666.

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 = 229646295 and 229646304.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 873049 + ... + 873311.

Almost surely, 2229646340 is an apocalyptic number.

229646340 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 229646340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458843616).

229646340 is an abundant number, since it is smaller than the sum of its proper divisors (688040892).

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

229646340 is a wasteful number, since it uses less digits than its factorization.

229646340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 229646340 is about 15154.0865775539. The cubic root of 229646340 is about 612.3783704063.

The spelling of 229646340 in words is "two hundred twenty-nine million, six hundred forty-six thousand, three hundred forty".