Search a number
-
+
22432222431 = 331523354541
BaseRepresentation
bin10100111001000100…
…001000110011011111
32010220100011222012000
4110321010020303133
5331420122104211
614145532213343
71422614513253
oct247104106337
963810158160
1022432222431
11957144a803
12442060a253
132166565cc8
14112b332263
158b4559656
hex539108cdf

22432222431 has 16 divisors (see below), whose sum is σ = 33235713120. Its totient is φ = 14953559040.

The previous prime is 22432222367. The next prime is 22432222433. The reversal of 22432222431 is 13422223422.

22432222431 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 2 + 222 + 431 = 666.

It is not a de Polignac number, because 22432222431 - 26 = 22432222367 is a prime.

It is a super-2 number, since 2×224322224312 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22432222395 and 22432222404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22432222433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384021 + ... + 438561.

It is an arithmetic number, because the mean of its divisors is an integer number (2077232070).

Almost surely, 222432222431 is an apocalyptic number.

22432222431 is a deficient number, since it is larger than the sum of its proper divisors (10803490689).

22432222431 is a wasteful number, since it uses less digits than its factorization.

22432222431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69783 (or 69777 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

Adding to 22432222431 its reverse (13422223422), we get a palindrome (35854445853).

Subtracting from 22432222431 its reverse (13422223422), we obtain a palindrome (9009999009).

It can be divided in two parts, 224322 and 22431, that added together give a triangular number (246753 = T702).

The spelling of 22432222431 in words is "twenty-two billion, four hundred thirty-two million, two hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 15233 45699 54541 137097 163623 411291 490869 1472607 830823053 2492469159 7477407477 22432222431