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2230695936 = 21134717113
BaseRepresentation
bin1000010011110101…
…1011100000000000
312202110110002120000
42010331123200000
514032024232221
61005203320000
7106164413460
oct20475334000
95673402500
102230695936
11a45195967
12523080000
132971bb331
1417238bba0
15d0c81e26
hex84f5b800

2230695936 has 480 divisors, whose sum is σ = 8134045920. Its totient is φ = 594542592.

The previous prime is 2230695881. The next prime is 2230695989. The reversal of 2230695936 is 6395960322.

2230695936 is a `hidden beast` number, since 22 + 30 + 6 + 9 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2230695891 and 2230695900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19740616 + ... + 19740728.

It is an arithmetic number, because the mean of its divisors is an integer number (16945929).

Almost surely, 22230695936 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 2230695936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067022960).

2230695936 is an abundant number, since it is smaller than the sum of its proper divisors (5903349984).

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

2230695936 is a wasteful number, since it uses less digits than its factorization.

2230695936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 2230695936 is about 47230.2438697917. The cubic root of 2230695936 is about 1306.6124499694.

The spelling of 2230695936 in words is "two billion, two hundred thirty million, six hundred ninety-five thousand, nine hundred thirty-six".