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223850000 = 245511237
BaseRepresentation
bin11010101011110…
…10111000010000
3120121012202110202
431111322320100
5424301200000
634113514332
75355456623
oct1525727020
9517182422
10223850000
111053a2900
1262b729a8
13374b7c2a
1421a2ddba
15149badd5
hexd57ae10

223850000 has 180 divisors, whose sum is σ = 611968644. Its totient is φ = 79200000.

The previous prime is 223849991. The next prime is 223850017. The reversal of 223850000 is 58322.

223850000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 140090896 + 83759104 = 11836^2 + 9152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6049982 + ... + 6050018.

Almost surely, 2223850000 is an apocalyptic number.

223850000 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 223850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305984322).

223850000 is an abundant number, since it is smaller than the sum of its proper divisors (388118644).

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

223850000 is an equidigital number, since it uses as much as digits as its factorization.

223850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 223850000 is about 14961.6175596090. The cubic root of 223850000 is about 607.1822020968.

The spelling of 223850000 in words is "two hundred twenty-three million, eight hundred fifty thousand".