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229847040 = 2123252943
BaseRepresentation
bin11011011001100…
…11000000000000
3121000111102212100
431230303000000
5432320101130
634450230400
75460444663
oct1554630000
9530442770
10229847040
11108819535
1264b85400
1338807787
14227516da
15152a2c60
hexdb33000

229847040 has 312 divisors, whose sum is σ = 843345360. Its totient is φ = 57802752.

The previous prime is 229846999. The next prime is 229847053. The reversal of 229847040 is 40748922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 229846986 and 229847004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5345259 + ... + 5345301.

It is an arithmetic number, because the mean of its divisors is an integer number (2703030).

Almost surely, 2229847040 is an apocalyptic number.

229847040 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 229847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421672680).

229847040 is an abundant number, since it is smaller than the sum of its proper divisors (613498320).

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

229847040 is a wasteful number, since it uses less digits than its factorization.

229847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 229847040 is about 15160.7071075198. The cubic root of 229847040 is about 612.5567150037.

The spelling of 229847040 in words is "two hundred twenty-nine million, eight hundred forty-seven thousand, forty".