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2235260144 = 2413292631409
BaseRepresentation
bin1000010100111011…
…0101110011110000
312202210000222110202
42011032311303300
514034211311034
61005445214332
7106251253265
oct20516656360
95683028422
102235260144
11a47823037
125247013a8
13298128950
14172c1926c
15d138447e
hex853b5cf0

2235260144 has 80 divisors (see below), whose sum is σ = 4846564800. Its totient is φ = 991592448.

The previous prime is 2235260141. The next prime is 2235260161. The reversal of 2235260144 is 4410625322.

2235260144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22352601442 = 9992775822709801472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235260141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1585712 + ... + 1587120.

It is an arithmetic number, because the mean of its divisors is an integer number (60582060).

Almost surely, 22235260144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235260144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423282400).

2235260144 is an abundant number, since it is smaller than the sum of its proper divisors (2611304656).

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

2235260144 is a wasteful number, since it uses less digits than its factorization.

2235260144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2235260144 is about 47278.5378792534. The cubic root of 2235260144 is about 1307.5029924120.

Adding to 2235260144 its reverse (4410625322), we get a palindrome (6645885466).

The spelling of 2235260144 in words is "two billion, two hundred thirty-five million, two hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 263 377 464 526 754 1052 1409 1508 2104 2818 3016 3419 4208 5636 6032 6838 7627 11272 13676 15254 18317 22544 27352 30508 36634 40861 54704 61016 73268 81722 99151 122032 146536 163444 198302 293072 326888 370567 396604 531193 653776 741134 793208 1062386 1482268 1586416 2124772 2964536 4249544 4817371 5929072 8499088 9634742 10746443 19269484 21492886 38538968 42985772 77077936 85971544 139703759 171943088 279407518 558815036 1117630072 2235260144