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223040160 = 253257229109
BaseRepresentation
bin11010100101101…
…01001010100000
3120112200121120200
431102311022200
5424044241120
634044305200
75345544600
oct1522651240
9515617520
10223040160
1110499a412
1262842200
1337293435
142189cc00
15148aae90
hexd4b52a0

223040160 has 432 divisors, whose sum is σ = 924323400. Its totient is φ = 48771072.

The previous prime is 223040159. The next prime is 223040171. The reversal of 223040160 is 61040322.

It is a happy number.

223040160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 196784784 + 26255376 = 14028^2 + 5124^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2046186 + ... + 2046294.

Almost surely, 2223040160 is an apocalyptic number.

223040160 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 223040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462161700).

223040160 is an abundant number, since it is smaller than the sum of its proper divisors (701283240).

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

223040160 is a wasteful number, since it uses less digits than its factorization.

223040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223040160 is about 14934.5291187905. The cubic root of 223040160 is about 606.4491001565.

Adding to 223040160 its reverse (61040322), we get a palindrome (284080482).

The spelling of 223040160 in words is "two hundred twenty-three million, forty thousand, one hundred sixty".