Search a number
-
+
235083380 = 22572972473
BaseRepresentation
bin11100000001100…
…01011001110100
3121101100110202212
432000301121310
5440140132010
635154352552
75553114200
oct1600613164
9541313685
10235083380
11110775694
126688b758
133991bcbc
1423315b00
1515989505
hexe031674

235083380 has 72 divisors (see below), whose sum is σ = 580430088. Its totient is φ = 79736832.

The previous prime is 235083349. The next prime is 235083383. The reversal of 235083380 is 83380532.

It can be written as a sum of positive squares in 4 ways, for example, as 39866596 + 195216784 = 6314^2 + 13972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235083383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93824 + ... + 96296.

It is an arithmetic number, because the mean of its divisors is an integer number (8061529).

Almost surely, 2235083380 is an apocalyptic number.

235083380 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 235083380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290215044).

235083380 is an abundant number, since it is smaller than the sum of its proper divisors (345346708).

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

235083380 is a wasteful number, since it uses less digits than its factorization.

235083380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 235083380 is about 15332.4290313049. The cubic root of 235083380 is about 617.1735548267.

The spelling of 235083380 in words is "two hundred thirty-five million, eighty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 679 970 980 1358 1940 2473 2716 3395 4753 4946 6790 9506 9892 12365 13580 17311 19012 23765 24730 34622 47530 49460 69244 86555 95060 121177 173110 239881 242354 346220 479762 484708 605885 959524 1199405 1211770 1679167 2398810 2423540 3358334 4797620 6716668 8395835 11754169 16791670 23508338 33583340 47016676 58770845 117541690 235083380