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3223332000 = 253253712791
BaseRepresentation
bin1100000000100000…
…0010010010100000
322022122021020020200
43000020002102200
523100133111000
61251503105200
7142606604250
oct30010022240
98278236220
103223332000
11140453a049
1275b5a2200
133c4a4a755
1422813d960
1513ceab500
hexc02024a0

3223332000 has 288 divisors, whose sum is σ = 13074856704. Its totient is φ = 736704000.

The previous prime is 3223331999. The next prime is 3223332029. The reversal of 3223332000 is 2333223.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245605 + ... + 258395.

It is an arithmetic number, because the mean of its divisors is an integer number (45398808).

Almost surely, 23223332000 is an apocalyptic number.

3223332000 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 3223332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537428352).

3223332000 is an abundant number, since it is smaller than the sum of its proper divisors (9851524704).

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

3223332000 is a wasteful number, since it uses less digits than its factorization.

3223332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3223332000 is about 56774.3956374702. The cubic root of 3223332000 is about 1477.1854226476.

Adding to 3223332000 its reverse (2333223), we get a palindrome (3225665223).

The spelling of 3223332000 in words is "three billion, two hundred twenty-three million, three hundred thirty-two thousand".