Search a number
-
+
235049344000 = 2105317109991
BaseRepresentation
bin1101101011101000001…
…0000101110000000000
3211110200222210211200021
43122322002011300000
512322340113002000
6255551415103224
722660512313252
oct3327202056000
9743628724607
10235049344000
11907582550a9
1239679671b14
131921b82b793
14b53ad93cd2
1561aa50011a
hex36ba085c00

235049344000 has 352 divisors, whose sum is σ = 627219141120. Its totient is φ = 87588864000.

The previous prime is 235049343967. The next prime is 235049344009. The reversal of 235049344000 is 443940532.

It is a happy number.

It is a super-2 number, since 2×2350493440002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235049344009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237183505 + ... + 237184495.

It is an arithmetic number, because the mean of its divisors is an integer number (1781872560).

Almost surely, 2235049344000 is an apocalyptic number.

235049344000 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 235049344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313609570560).

235049344000 is an abundant number, since it is smaller than the sum of its proper divisors (392169797120).

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

235049344000 is a wasteful number, since it uses less digits than its factorization.

235049344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 235049344000 in words is "two hundred thirty-five billion, forty-nine million, three hundred forty-four thousand".