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223492896 = 253211194779
BaseRepresentation
bin11010101001000…
…11101100100000
3120120112121121200
431110203230200
5424203233041
634102121200
75352441534
oct1524435440
9516477550
10223492896
11105179580
1262a20200
13373c1523
1421979bc4
151494a1b6
hexd523b20

223492896 has 288 divisors, whose sum is σ = 754790400. Its totient is φ = 62000640.

The previous prime is 223492883. The next prime is 223492921. The reversal of 223492896 is 698294322.

223492896 is a `hidden beast` number, since 22 + 349 + 289 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828985 + ... + 2829063.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2223492896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223492896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

223492896 is an abundant number, since it is smaller than the sum of its proper divisors (531297504).

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

223492896 is a wasteful number, since it uses less digits than its factorization.

223492896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 223492896 is about 14949.6787925360. The cubic root of 223492896 is about 606.8591545269.

The spelling of 223492896 in words is "two hundred twenty-three million, four hundred ninety-two thousand, eight hundred ninety-six".