[go: up one dir, main page]

Search a number
-
+
223016976 = 24347133161
BaseRepresentation
bin11010100101011…
…11100000010000
3120112122102210000
431102233200100
5424043020401
634044010000
75345420160
oct1522574020
9515572700
10223016976
11104983a56
1262830900
1337285a10
14218945a0
15148a4186
hexd4af810

223016976 has 400 divisors, whose sum is σ = 833502208. Its totient is φ = 55987200.

The previous prime is 223016929. The next prime is 223016987. The reversal of 223016976 is 679610322.

223016976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 223016976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3655986 + ... + 3656046.

Almost surely, 2223016976 is an apocalyptic number.

223016976 is a gapful number since it is divisible by the number (26) 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 223016976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416751104).

223016976 is an abundant number, since it is smaller than the sum of its proper divisors (610485232).

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

223016976 is a wasteful number, since it uses less digits than its factorization.

223016976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 223016976 is about 14933.7529107723. The cubic root of 223016976 is about 606.4280868958.

223016976 divided by its sum of digits (36) gives a palindrome (6194916).

The spelling of 223016976 in words is "two hundred twenty-three million, sixteen thousand, nine hundred seventy-six".