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223134912 = 26347111343
BaseRepresentation
bin11010100110011…
…00010011000000
3120112212102120000
431103030103000
5424110304122
634050320000
75346421050
oct1523142300
9515772500
10223134912
11104a54620
1262889000
13372c75c0
14218c5560
15148c90ac
hexd4cc4c0

223134912 has 560 divisors, whose sum is σ = 908742912. Its totient is φ = 52254720.

The previous prime is 223134887. The next prime is 223134943. The reversal of 223134912 is 219431322.

It is a happy number.

223134912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231349123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5189163 + ... + 5189205.

Almost surely, 2223134912 is an apocalyptic number.

223134912 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 223134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454371456).

223134912 is an abundant number, since it is smaller than the sum of its proper divisors (685608000).

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

223134912 is a wasteful number, since it uses less digits than its factorization.

223134912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 223134912 is about 14937.7010279360. The cubic root of 223134912 is about 606.5349653060.

It can be divided in two parts, 22313 and 4912, that added together give a square (27225 = 1652).

The spelling of 223134912 in words is "two hundred twenty-three million, one hundred thirty-four thousand, nine hundred twelve".