Search a number
-
+
22210021112000 = 265341127533177
BaseRepresentation
bin1010000110011001011000…
…11010110011100011000000
32220122020221120002021110112
411003030230122303203000
510402342110401041000
6115123050504250452
74451423012355641
oct503145432634300
986566846067415
1022210021112000
1170932429a3867
1225a854b170a28
13c5151c037037
1456ad83a896c8
15287b00e66235
hex14332c6b38c0

22210021112000 has 224 divisors, whose sum is σ = 56788421953536. Its totient is φ = 8599062528000.

The previous prime is 22210021111997. The next prime is 22210021112089. The reversal of 22210021112000 is 21112001222.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41389412 + ... + 41922588.

It is an arithmetic number, because the mean of its divisors is an integer number (253519740864).

Almost surely, 222210021112000 is an apocalyptic number.

22210021112000 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 22210021112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28394210976768).

22210021112000 is an abundant number, since it is smaller than the sum of its proper divisors (34578400841536).

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

22210021112000 is a wasteful number, since it uses less digits than its factorization.

22210021112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533372 (or 533352 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22210021112000 its reverse (21112001222), we get a palindrome (22231133113222).

The spelling of 22210021112000 in words is "twenty-two trillion, two hundred ten billion, twenty-one million, one hundred twelve thousand".