Search a number
-
+
22001322231 = 3271632142499
BaseRepresentation
bin10100011111011000…
…011000100011110111
32002210022100222020100
4110133120120203313
5330024314302411
614035100405143
71406133103410
oct243730304367
962708328210
1022001322231
11937019a039
1243202467b3
1320c81c5a85
1410ca006807
1588b7e0456
hex51f6188f7

22001322231 has 24 divisors (see below), whose sum is σ = 36542480000. Its totient is φ = 12495048336.

The previous prime is 22001322227. The next prime is 22001322311. The reversal of 22001322231 is 13222310022.

It is not a de Polignac number, because 22001322231 - 22 = 22001322227 is a prime.

It is a super-2 number, since 2×220013222312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001322331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060981 + ... + 1081518.

Almost surely, 222001322231 is an apocalyptic number.

22001322231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22001322231 is a deficient number, since it is larger than the sum of its proper divisors (14541157769).

22001322231 is a wasteful number, since it uses less digits than its factorization.

22001322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142675 (or 2142672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22001322231 its reverse (13222310022), we get a palindrome (35223632253).

The spelling of 22001322231 in words is "twenty-two billion, one million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 163 489 1141 1467 3423 10269 2142499 6427497 14997493 19282491 44992479 134977437 349227337 1047682011 2444591359 3143046033 7333774077 22001322231