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945223680 = 21135291061
BaseRepresentation
bin111000010101101…
…111100000000000
32102212121100010110
4320111233200000
53413434124210
6233443231320
732265161112
oct7025574000
92385540113
10945223680
114456105a5
12224678540
13120a9ba6b
148d76d3b2
1557eb1420
hex3856f800

945223680 has 192 divisors, whose sum is σ = 3131200800. Its totient is φ = 243138560.

The previous prime is 945223673. The next prime is 945223711. The reversal of 945223680 is 86322549.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890350 + ... + 891410.

Almost surely, 2945223680 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 945223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565600400).

945223680 is an abundant number, since it is smaller than the sum of its proper divisors (2185977120).

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

945223680 is a wasteful number, since it uses less digits than its factorization.

945223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 945223680 is about 30744.4902380898. The cubic root of 945223680 is about 981.3973125689.

The spelling of 945223680 in words is "nine hundred forty-five million, two hundred twenty-three thousand, six hundred eighty".