Search a number
-
+
22022322322000 = 24537111327140591
BaseRepresentation
bin1010000000111011110001…
…01100101111101001010000
32212222022110111200210202111
411000131320230233221100
510341303204003301000
6114500525403555104
74432026451104640
oct500357054575120
985868414623674
1022022322322000
117020683914820
1225780a722ba94
13c399083b2160
14561c595d2520
15282cb790ecba
hex140778b2fa50

22022322322000 has 640 divisors, whose sum is σ = 71762062934016. Its totient is φ = 6312556800000.

The previous prime is 22022322321983. The next prime is 22022322322061. The reversal of 22022322322000 is 22322322022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 542521705 + ... + 542562295.

Almost surely, 222022322322000 is an apocalyptic number.

22022322322000 is a gapful number since it is divisible by the number (20) 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 22022322322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35881031467008).

22022322322000 is an abundant number, since it is smaller than the sum of its proper divisors (49739740612016).

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

22022322322000 is a wasteful number, since it uses less digits than its factorization.

22022322322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40916 (or 40900 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 22022322322000 its sum of digits (22), we get a palindrome (22022322322022).

Adding to 22022322322000 its reverse (22322322022), we get a palindrome (22044644644022).

It can be divided in two parts, 22022322 and 322000, that added together give a palindrome (22344322).

The spelling of 22022322322000 in words is "twenty-two trillion, twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand".