Search a number
-
+
235345344520 = 23511131916712967
BaseRepresentation
bin1101101100101110101…
…1001111100000001000
3211111110121210020001111
43123023223033200020
512323441402011040
6300041031300104
723001035264446
oct3331353174010
9744417706044
10235345344520
119089a347730
123974081a634
1319267c59010
14b568405b96
1561c64bddea
hex36cbacf808

235345344520 has 256 divisors, whose sum is σ = 658815897600. Its totient is φ = 74385423360.

The previous prime is 235345344511. The next prime is 235345344529. The reversal of 235345344520 is 25443543532.

235345344520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (235345344511) and next prime (235345344529).

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 (235345344529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18143077 + ... + 18156043.

It is an arithmetic number, because the mean of its divisors is an integer number (2573499600).

Almost surely, 2235345344520 is an apocalyptic number.

235345344520 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 235345344520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329407948800).

235345344520 is an abundant number, since it is smaller than the sum of its proper divisors (423470553080).

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

235345344520 is a wasteful number, since it uses less digits than its factorization.

235345344520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13188 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 235345344520 in words is "two hundred thirty-five billion, three hundred forty-five million, three hundred forty-four thousand, five hundred twenty".