Search a number
-
+
22242432006 = 235297332153
BaseRepresentation
bin10100101101110000…
…001001010000000110
32010102010001121200000
4110231300021100012
5331023030311011
614115032302130
71415121360354
oct245560112006
963363047600
1022242432006
119484300413
124388b41946
132136144a92
14111004a7d4
158a2a6a356
hex52dc09406

22242432006 has 96 divisors (see below), whose sum is σ = 51794739360. Its totient is φ = 7145397504.

The previous prime is 22242431989. The next prime is 22242432073. The reversal of 22242432006 is 60023424222.

It is a happy number.

22242432006 is a `hidden beast` number, since 2 + 224 + 2 + 432 + 0 + 0 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10329826 + ... + 10331978.

It is an arithmetic number, because the mean of its divisors is an integer number (539528535).

Almost surely, 222242432006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242432006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25897369680).

22242432006 is an abundant number, since it is smaller than the sum of its proper divisors (29552307354).

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

22242432006 is a wasteful number, since it uses less digits than its factorization.

22242432006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2920 counting only the distinct ones).

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

Adding to 22242432006 its reverse (60023424222), we get a palindrome (82265856228).

The spelling of 22242432006 in words is "twenty-two billion, two hundred forty-two million, four hundred thirty-two thousand, six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 733 783 1466 1566 2153 2199 2349 4306 4398 4698 6459 6597 7047 12918 13194 14094 19377 19791 21257 38754 39582 42514 58131 59373 62437 63771 116262 118746 124874 127542 174393 178119 187311 191313 348786 356238 374622 382626 523179 561933 573939 1046358 1123866 1147878 1578149 1685799 1721817 3156298 3371598 3443634 4734447 5057397 5165451 9468894 10114794 10330902 14203341 15172191 28406682 30344382 42610023 45766321 85220046 91532642 127830069 137298963 255660138 274597926 383490207 411896889 766980414 823793778 1235690667 2471381334 3707072001 7414144002 11121216003 22242432006