Search a number
-
+
210397708350 = 232522331372479
BaseRepresentation
bin1100001111110010101…
…1100100000000111110
3202010001222101222220200
43003330223210000332
511421343303131400
6240353321024330
721125565004344
oct3037453440076
9663058358820
10210397708350
11812580263a5
12349399250a6
1316ac0527b1b
14a27cdad994
1557161e1b00
hex30fcae403e

210397708350 has 432 divisors, whose sum is σ = 627079864320. Its totient is φ = 50426323200.

The previous prime is 210397708337. The next prime is 210397708403. The reversal of 210397708350 is 53807793012.

It is a happy number.

210397708350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 210397708296 and 210397708305.

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 439243411 + ... + 439243889.

It is an arithmetic number, because the mean of its divisors is an integer number (1451573760).

Almost surely, 2210397708350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210397708350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313539932160).

210397708350 is an abundant number, since it is smaller than the sum of its proper divisors (416682155970).

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

210397708350 is a wasteful number, since it uses less digits than its factorization.

210397708350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 210397708350 in words is "two hundred ten billion, three hundred ninety-seven million, seven hundred eight thousand, three hundred fifty".