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230792906484 = 2232724779167211
BaseRepresentation
bin1101011011110001010…
…1000100011011110100
3211001201100120102002100
43112330111010123310
512240130441001414
6254005204542100
722450156223400
oct3267425043364
9731640512070
10230792906484
1189973640648
12388900b1930
13189c0a524ba
14b25596a100
15600b9c3609
hex35bc5446f4

230792906484 has 432 divisors, whose sum is σ = 709402337280. Its totient is φ = 63039150720.

The previous prime is 230792906483. The next prime is 230792906489. The reversal of 230792906484 is 484609297032.

230792906484 is a `hidden beast` number, since 2 + 3 + 0 + 79 + 2 + 90 + 6 + 484 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230792906484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230792906483) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1093805139 + ... + 1093805349.

It is an arithmetic number, because the mean of its divisors is an integer number (1642135040).

Almost surely, 2230792906484 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 230792906484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354701168640).

230792906484 is an abundant number, since it is smaller than the sum of its proper divisors (478609430796).

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

230792906484 is a wasteful number, since it uses less digits than its factorization.

230792906484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 230792906484 in words is "two hundred thirty billion, seven hundred ninety-two million, nine hundred six thousand, four hundred eighty-four".