223074000 has 360 divisors, whose sum is σ = 856639368. Its totient is φ = 55987200.

The previous prime is 223073971. The next prime is 223074013. The reversal of 223074000 is 470322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 222129216 = 972^2 + 14904^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×223074000³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13121992 + ... + 13122008.

Almost surely, 2^223074000 is an apocalyptic number.

223074000 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 223074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428319684).

223074000 is an abundant number, since it is smaller than the sum of its proper divisors (633565368).

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

223074000 is an frugal number, since it uses more digits than its factorization.

223074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 223074000 is about 14935.6620208145. The cubic root of 223074000 is about 606.4797690725.

The spelling of 223074000 in words is "two hundred twenty-three million, seventy-four thousand".