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223990272 = 293411491
BaseRepresentation
bin11010101100111…
…01001000000000
3120121110212220000
431112131020000
5424320142042
634120520000
75356612602
oct1526351000
9517425800
10223990272
11105489230
1263020000
1337536a2c
1421a69172
15149e774c
hexd59d200

223990272 has 200 divisors, whose sum is σ = 730814832. Its totient is φ = 67737600.

The previous prime is 223990271. The next prime is 223990279. The reversal of 223990272 is 272099322.

It is a happy number.

223990272 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 not an unprimeable number, because it can be changed into a prime (223990271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455947 + ... + 456437.

Almost surely, 2223990272 is an apocalyptic number.

223990272 is a gapful number since it is divisible by the number (22) 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 223990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365407416).

223990272 is an abundant number, since it is smaller than the sum of its proper divisors (506824560).

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

223990272 is an equidigital number, since it uses as much as digits as its factorization.

223990272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 507 counting only the distinct ones).

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

The square root of 223990272 is about 14966.3045538971. The cubic root of 223990272 is about 607.3090025998.

The spelling of 223990272 in words is "two hundred twenty-three million, nine hundred ninety thousand, two hundred seventy-two".