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223823040 = 26357191753
BaseRepresentation
bin11010101011101…
…00010011000000
3120121011101111020
431111310103000
5424244314130
634113145440
75355315210
oct1525642300
9517141436
10223823040
11105384621
1262b5b280
13374a888c
1421a24240
15149b2e10
hexd5744c0

223823040 has 224 divisors, whose sum is σ = 855390720. Its totient is φ = 48439296.

The previous prime is 223823009. The next prime is 223823053. The reversal of 223823040 is 40328322.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 223823040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126804 + ... + 128556.

Almost surely, 2223823040 is an apocalyptic number.

223823040 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 223823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427695360).

223823040 is an abundant number, since it is smaller than the sum of its proper divisors (631567680).

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

223823040 is a wasteful number, since it uses less digits than its factorization.

223823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 223823040 is about 14960.7165603791. The cubic root of 223823040 is about 607.1578252233.

The spelling of 223823040 in words is "two hundred twenty-three million, eight hundred twenty-three thousand, forty".