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2193432048 = 243419281317
BaseRepresentation
bin1000001010111101…
…0001110111110000
312122212022220010000
42002233101313300
513443004311143
61001352510000
7105232602423
oct20257216760
95585286100
102193432048
11a26153a65
125126ab300
1328c571cb2
1416b44b9ba
15cc870bd3
hex82bd1df0

2193432048 has 200 divisors, whose sum is σ = 6727493520. Its totient is φ = 688020480.

The previous prime is 2193432047. The next prime is 2193432097. The reversal of 2193432048 is 8402343912.

2193432048 is a `hidden beast` number, since 219 + 3 + 432 + 0 + 4 + 8 = 666.

2193432048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21934320482 = 9622288298386948608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193432041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6919186 + ... + 6919502.

Almost surely, 22193432048 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 2193432048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363746760).

2193432048 is an abundant number, since it is smaller than the sum of its proper divisors (4534061472).

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

2193432048 is a wasteful number, since it uses less digits than its factorization.

2193432048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2193432048 is about 46834.0906605434. The cubic root of 2193432048 is about 1299.2958806294.

The spelling of 2193432048 in words is "two billion, one hundred ninety-three million, four hundred thirty-two thousand, forty-eight".