Search a number
-
+
223045680 = 243511136797
BaseRepresentation
bin11010100101101…
…10100000110000
3120112200220011010
431102312200300
5424044430210
634044350520
75345566644
oct1522664060
9515626133
10223045680
111049a3580
1262845440
1337295ac0
14218a0c24
15148ac920
hexd4b6830

223045680 has 320 divisors, whose sum is σ = 832946688. Its totient is φ = 48660480.

The previous prime is 223045679. The next prime is 223045681. The reversal of 223045680 is 86540322.

It is an interprime number because it is at equal distance from previous prime (223045679) and next prime (223045681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (223045681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2299392 + ... + 2299488.

Almost surely, 2223045680 is an apocalyptic number.

223045680 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 223045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416473344).

223045680 is an abundant number, since it is smaller than the sum of its proper divisors (609901008).

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

223045680 is a wasteful number, since it uses less digits than its factorization.

223045680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 223045680 is about 14934.7139242772. The cubic root of 223045680 is about 606.4541030992.

The spelling of 223045680 in words is "two hundred twenty-three million, forty-five thousand, six hundred eighty".