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223566420 = 2235721131223
BaseRepresentation
bin11010101001101…
…01101001010100
3120120200100110210
431110311221110
5424213111140
634103445420
75353166100
oct1524655124
9516610423
10223566420
11105219840
1262a56870
1337418b2c
1421998900
1514961d80
hexd535a54

223566420 has 288 divisors, whose sum is σ = 823689216. Its totient is φ = 44755200.

The previous prime is 223566419. The next prime is 223566449. The reversal of 223566420 is 24665322.

223566420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002429 + ... + 1002651.

It is an arithmetic number, because the mean of its divisors is an integer number (2860032).

Almost surely, 2223566420 is an apocalyptic number.

223566420 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 223566420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411844608).

223566420 is an abundant number, since it is smaller than the sum of its proper divisors (600122796).

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

223566420 is a wasteful number, since it uses less digits than its factorization.

223566420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 223566420 is about 14952.1376398159. The cubic root of 223566420 is about 606.9256947784.

The spelling of 223566420 in words is "two hundred twenty-three million, five hundred sixty-six thousand, four hundred twenty".