Search a number
-
+
230185718532 = 22327113789151167
BaseRepresentation
bin1101011001100000100…
…0110101001100000100
3211000011001001001210200
43112120020311030010
512232410020443112
6253425034450500
722426134216210
oct3263010651404
9730131031720
10230185718532
1189691923320
1238740893a30
131892500aca3
14b1d9071940
155ec3535cdc
hex3598235304

230185718532 has 576 divisors, whose sum is σ = 762942136320. Its totient is φ = 56795904000.

The previous prime is 230185718489. The next prime is 230185718551. The reversal of 230185718532 is 235817581032.

230185718532 is a `hidden beast` number, since 2 + 30 + 1 + 85 + 7 + 1 + 8 + 532 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1378357513 + ... + 1378357679.

It is an arithmetic number, because the mean of its divisors is an integer number (1324552320).

Almost surely, 2230185718532 is an apocalyptic number.

230185718532 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 230185718532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381471068160).

230185718532 is an abundant number, since it is smaller than the sum of its proper divisors (532756417788).

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

230185718532 is a wasteful number, since it uses less digits than its factorization.

230185718532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 230185718532 in words is "two hundred thirty billion, one hundred eighty-five million, seven hundred eighteen thousand, five hundred thirty-two".