Search a number
-
+
230525023132000 = 2553255122591633
BaseRepresentation
bin110100011010100101001010…
…000111011001100101100000
31010020012222101012222100020201
4310122211022013121211200
5220203410221410211000
62134141422244314544
766361611655010122
oct6432451207314540
91106188335870221
10230525023132000
11674a8127868283
1221a313639a2a54
139b82554ac127c
1440cd68367d212
151b9b7416dc96a
hexd1a94a1d9960

230525023132000 has 96 divisors (see below), whose sum is σ = 566622037485504. Its totient is φ = 92173858560000.

The previous prime is 230525023131971. The next prime is 230525023132003. The reversal of 230525023132000 is 231320525032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 230525023132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230525023132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091817 + ... + 21499816.

It is an arithmetic number, because the mean of its divisors is an integer number (5902312890474).

Almost surely, 2230525023132000 is an apocalyptic number.

230525023132000 is a gapful number since it is divisible by the number (20) 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 230525023132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283311018742752).

230525023132000 is an abundant number, since it is smaller than the sum of its proper divisors (336097014353504).

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

230525023132000 is a wasteful number, since it uses less digits than its factorization.

230525023132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22594209 (or 22594191 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 230525023132000 its reverse (231320525032), we get a palindrome (230756343657032).

The spelling of 230525023132000 in words is "two hundred thirty trillion, five hundred twenty-five billion, twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2551 4000 5102 10204 12755 20408 25510 40816 51020 63775 81632 102040 127550 204080 255100 318875 408160 510200 637750 1020400 1275500 2040800 2551000 5102000 10204000 22591633 45183266 90366532 112958165 180733064 225916330 361466128 451832660 564790825 722932256 903665320 1129581650 1807330640 2259163300 2823954125 3614661280 4518326600 5647908250 9036653200 11295816500 18073306400 22591633000 45183266000 57631255783 90366532000 115262511566 230525023132 288156278915 461050046264 576312557830 922100092528 1152625115660 1440781394575 1844200185056 2305250231320 2881562789150 4610500462640 5763125578300 7203906972875 9221000925280 11526251156600 14407813945750 23052502313200 28815627891500 46105004626400 57631255783000 115262511566000 230525023132000