Search a number
-
+
2231135442 = 23465920899
BaseRepresentation
bin1000010011111100…
…0110110011010010
312202111021102110000
42010333012303102
514032132313232
61005220550430
7106201224024
oct20477066322
95674242400
102231135442
11a45466098
12523252416
132973133b3
14172464014
15d0d1c27c
hex84fc6cd2

2231135442 has 40 divisors (see below), whose sum is σ = 5007222000. Its totient is φ = 742547736.

The previous prime is 2231135419. The next prime is 2231135507. The reversal of 2231135442 is 2445311322.

2231135442 is a `hidden beast` number, since 2 + 2 + 3 + 113 + 544 + 2 = 666.

2231135442 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-3 number, since 3×22311354423 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96309 + ... + 117207.

It is an arithmetic number, because the mean of its divisors is an integer number (125180550).

Almost surely, 22231135442 is an apocalyptic number.

2231135442 is an abundant number, since it is smaller than the sum of its proper divisors (2776086558).

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

2231135442 is a wasteful number, since it uses less digits than its factorization.

2231135442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21572 (or 21563 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2231135442 is about 47234.8964432018. The cubic root of 2231135442 is about 1306.6982567187.

Adding to 2231135442 its reverse (2445311322), we get a palindrome (4676446764).

The spelling of 2231135442 in words is "two billion, two hundred thirty-one million, one hundred thirty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 659 1318 1977 3954 5931 11862 17793 20899 35586 41798 53379 62697 106758 125394 188091 376182 564273 1128546 1692819 3385638 13772441 27544882 41317323 82634646 123951969 247903938 371855907 743711814 1115567721 2231135442