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332225760 = 25353183269
BaseRepresentation
bin10011110011010…
…101110011100000
3212011010211001210
4103303111303200
51140022211020
652544430120
711142605136
oct2363256340
9764124053
10332225760
11160595149
1293318340
1353aa1bb9
14321a1756
151e2773e0
hex13cd5ce0

332225760 has 192 divisors, whose sum is σ = 1097349120. Its totient is φ = 84387840.

The previous prime is 332225753. The next prime is 332225797. The reversal of 332225760 is 67522233.

It is a super-2 number, since 2×3322257602 = 220747911215155200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1234906 + ... + 1235174.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2332225760 is an apocalyptic number.

332225760 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 332225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548674560).

332225760 is an abundant number, since it is smaller than the sum of its proper divisors (765123360).

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

332225760 is a wasteful number, since it uses less digits than its factorization.

332225760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 332225760 is about 18227.0612003142. The cubic root of 332225760 is about 692.5924737600.

Adding to 332225760 its reverse (67522233), we get a palindrome (399747993).

The spelling of 332225760 in words is "three hundred thirty-two million, two hundred twenty-five thousand, seven hundred sixty".