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223709040 = 24345192379
BaseRepresentation
bin11010101010110…
…00011101110000
3120120221121010000
431111120131300
5424232142130
634110510000
75354331642
oct1525303560
9516847100
10223709040
11105306a05
1262b05300
1337468a19
14219d4892
151498e260
hexd558770

223709040 has 400 divisors, whose sum is σ = 864230400. Its totient is φ = 53374464.

The previous prime is 223709027. The next prime is 223709053. The reversal of 223709040 is 40907322.

223709040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223709027) and next prime (223709053).

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

It is a junction number, because it is equal to n+sod(n) for n = 223708995 and 223709013.

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, 2831721 + ... + 2831799.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2223709040 is an apocalyptic number.

223709040 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 223709040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432115200).

223709040 is an abundant number, since it is smaller than the sum of its proper divisors (640521360).

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

223709040 is a wasteful number, since it uses less digits than its factorization.

223709040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 223709040 is about 14956.9060971847. The cubic root of 223709040 is about 607.0547262950.

The spelling of 223709040 in words is "two hundred twenty-three million, seven hundred nine thousand, forty".