Search a number
-
+
232005354301480 = 235171723991979039
BaseRepresentation
bin110100110000000111110100…
…101110101010100000101000
31010102110111101001020100211211
4310300013310232222200220
5220402133431200121410
62141233442143002504
766603555650230354
oct6460076456524050
91112414331210754
10232005354301480
1167a18a11155131
1222030237899434
139c5c01b322106
1441411949cc464
151bc4ed1e3568a
hexd301f4baa828

232005354301480 has 64 divisors (see below), whose sum is σ = 552722123520000. Its totient is φ = 87342641439744.

The previous prime is 232005354301459. The next prime is 232005354301481. The reversal of 232005354301480 is 84103453500232.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (232005354301481) 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, 116241801 + ... + 118220839.

It is an arithmetic number, because the mean of its divisors is an integer number (8636283180000).

Almost surely, 2232005354301480 is an apocalyptic number.

232005354301480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232005354301480 is an abundant number, since it is smaller than the sum of its proper divisors (320716769218520).

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

232005354301480 is a wasteful number, since it uses less digits than its factorization.

232005354301480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151466 (or 2151462 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 232005354301480 in words is "two hundred thirty-two trillion, five billion, three hundred fifty-four million, three hundred one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 172399 344798 689596 861995 1379192 1723990 1979039 2930783 3447980 3958078 5861566 6895960 7916156 9895195 11723132 14653915 15832312 19790390 23446264 29307830 33643663 39580780 58615660 67287326 79161560 117231320 134574652 168218315 269149304 336436630 672873260 1345746520 341184344561 682368689122 1364737378244 1705921722805 2729474756488 3411843445610 5800133857537 6823686891220 11600267715074 13647373782440 23200535430148 29000669287685 46401070860296 58001338575370 116002677150740 232005354301480