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230798633472 = 29331129199263
BaseRepresentation
bin1101011011110010101…
…0111010101000000000
3211001201202100101001000
43112330222322220000
512240133422232342
6254005531412000
722450256005221
oct3267452725000
9731652311030
10230798633472
11899768a23a0
1238891bb4000
13189c1ca9154
14b25661b248
15600c25544c
hex35bcabaa00

230798633472 has 640 divisors, whose sum is σ = 777807360000. Its totient is φ = 66932490240.

The previous prime is 230798633449. The next prime is 230798633473. The reversal of 230798633472 is 274336897032.

230798633472 is a `hidden beast` number, since 23 + 0 + 7 + 98 + 63 + 3 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230798633473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 877561213 + ... + 877561475.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324000).

Almost surely, 2230798633472 is an apocalyptic number.

230798633472 is a gapful number since it is divisible by the number (22) 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 230798633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388903680000).

230798633472 is an abundant number, since it is smaller than the sum of its proper divisors (547008726528).

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

230798633472 is a wasteful number, since it uses less digits than its factorization.

230798633472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 230798633472 in words is "two hundred thirty billion, seven hundred ninety-eight million, six hundred thirty-three thousand, four hundred seventy-two".