Search a number
-
+
22004140312 = 23721119419641
BaseRepresentation
bin10100011111100011…
…001000100100011000
32002210111200010220201
4110133203020210120
5330031024442222
614035241031544
71406166051400
oct243743104430
962714603821
1022004140312
119371844330
1243211855b4
1320c897168b
1410ca53b800
1588bb9a427
hex51f8c8918

22004140312 has 192 divisors, whose sum is σ = 55330128000. Its totient is φ = 8089804800.

The previous prime is 22004140307. The next prime is 22004140313. The reversal of 22004140312 is 21304140022.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 22004140312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22004140313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34327512 + ... + 34328152.

It is an arithmetic number, because the mean of its divisors is an integer number (288177750).

Almost surely, 222004140312 is an apocalyptic number.

22004140312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22004140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27665064000).

22004140312 is an abundant number, since it is smaller than the sum of its proper divisors (33325987688).

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

22004140312 is a wasteful number, since it uses less digits than its factorization.

22004140312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22004140312 its reverse (21304140022), we get a palindrome (43308280334).

The spelling of 22004140312 in words is "twenty-two billion, four million, one hundred forty thousand, three hundred twelve".