Search a number
-
+
235303422560 = 2559715161303
BaseRepresentation
bin1101101100100100101…
…1010100101001100000
3211111100200220100221022
43123021023110221200
512323400134010220
6300032532545012
723000016043133
oct3331113245140
9744320810838
10235303422560
1190878714088
123972a782168
131925c36b71b
14b562a1221a
1561c298c925
hex36c92d4a60

235303422560 has 48 divisors (see below), whose sum is σ = 561635345376. Its totient is φ = 93151039488.

The previous prime is 235303422517. The next prime is 235303422569. The reversal of 235303422560 is 65224303532.

235303422560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 235303422560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235303422569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7565132 + ... + 7596171.

It is an arithmetic number, because the mean of its divisors is an integer number (11700736362).

Almost surely, 2235303422560 is an apocalyptic number.

235303422560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235303422560 is an abundant number, since it is smaller than the sum of its proper divisors (326331922816).

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

235303422560 is a wasteful number, since it uses less digits than its factorization.

235303422560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15161415 (or 15161407 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The spelling of 235303422560 in words is "two hundred thirty-five billion, three hundred three million, four hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7760 15520 15161303 30322606 60645212 75806515 121290424 151613030 242580848 303226060 485161696 606452120 1212904240 1470646391 2425808480 2941292782 5882585564 7353231955 11765171128 14706463910 23530342256 29412927820 47060684512 58825855640 117651711280 235303422560