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332223000 = 23353374173
BaseRepresentation
bin10011110011010…
…101001000011000
3212011010200021120
4103303111020120
51140022114000
652544405240
711142564114
oct2363251030
9764120246
10332223000
1116059306a
1293316820
1353aa0875
14321a0744
151e2766a0
hex13cd5218

332223000 has 256 divisors, whose sum is σ = 1105453440. Its totient is φ = 82944000.

The previous prime is 332222981. The next prime is 332223011. The reversal of 332223000 is 322233.

It is a super-2 number, since 2×3322230002 = 220744243458000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4550964 + ... + 4551036.

Almost surely, 2332223000 is an apocalyptic number.

332223000 is a gapful number since it is divisible by the number (30) 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 332223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552726720).

332223000 is an abundant number, since it is smaller than the sum of its proper divisors (773230440).

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

332223000 is a wasteful number, since it uses less digits than its factorization.

332223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 332223000 is about 18226.9854885551. The cubic root of 332223000 is about 692.5905558267.

Adding to 332223000 its reverse (322233), we get a palindrome (332545233).

The spelling of 332223000 in words is "three hundred thirty-two million, two hundred twenty-three thousand".