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3223232320 = 265711257509
BaseRepresentation
bin1100000000011110…
…1001111101000000
322022122002011111211
43000013221331000
523100121413240
61251501015504
7142606010530
oct30007517500
98278064454
103223232320
111404481170
1275b554594
133c4a14279
142281154c0
1513ce8bbea
hexc01e9f40

3223232320 has 224 divisors, whose sum is σ = 9625340160. Its totient is φ = 998768640.

The previous prime is 3223232297. The next prime is 3223232321. The reversal of 3223232320 is 232323223.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3223232291 and 3223232300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223232321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6332226 + ... + 6332734.

Almost surely, 23223232320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812670080).

3223232320 is an abundant number, since it is smaller than the sum of its proper divisors (6402107840).

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

3223232320 is a wasteful number, since it uses less digits than its factorization.

3223232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 3223232320 is about 56773.5177701717. The cubic root of 3223232320 is about 1477.1701954065.

Adding to 3223232320 its reverse (232323223), we get a palindrome (3455555543).

The spelling of 3223232320 in words is "three billion, two hundred twenty-three million, two hundred thirty-two thousand, three hundred twenty".