Search a number
-
+
2235306381 = 37119676651
BaseRepresentation
bin1000010100111100…
…0001000110001101
312202210010022220020
42011033001012031
514034214301011
61005450212353
7106251535140
oct20517010615
95683108806
102235306381
11a47854850
125247240b9
132981439c9
14172c2c057
15d1393006
hex853c118d

2235306381 has 16 divisors (see below), whose sum is σ = 3715834368. Its totient is φ = 1161198000.

The previous prime is 2235306371. The next prime is 2235306389. The reversal of 2235306381 is 1836035322.

It is not a de Polignac number, because 2235306381 - 211 = 2235304333 is a prime.

It is a super-2 number, since 2×22353063812 = 9993189233878634322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235306389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4838095 + ... + 4838556.

It is an arithmetic number, because the mean of its divisors is an integer number (232239648).

Almost surely, 22235306381 is an apocalyptic number.

2235306381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2235306381 is a deficient number, since it is larger than the sum of its proper divisors (1480527987).

2235306381 is a wasteful number, since it uses less digits than its factorization.

2235306381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676672.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2235306381 is about 47279.0268618126. The cubic root of 2235306381 is about 1307.5120077085.

The spelling of 2235306381 in words is "two billion, two hundred thirty-five million, three hundred six thousand, three hundred eighty-one".

Divisors: 1 3 7 11 21 33 77 231 9676651 29029953 67736557 106443161 203209671 319329483 745102127 2235306381