Search a number
-
+
22022005200000 = 27355131411667
BaseRepresentation
bin1010000000111011001011…
…10011000001010010000000
32212222021122101222100011020
411000131211303001102000
510341302031312400000
6114500434114545440
74432015550444001
oct500354563012200
985867571870136
1022022005200000
117020530906323
122578018b98280
13c3988779abc0
14561c294431a8
15282c99b6cba0
hex140765cc1480

22022005200000 has 384 divisors, whose sum is σ = 78739565970240. Its totient is φ = 5420797440000.

The previous prime is 22022005199977. The next prime is 22022005200049. The reversal of 22022005200000 is 250022022.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14894167 + ... + 16305833.

Almost surely, 222022005200000 is an apocalyptic number.

22022005200000 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 22022005200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39369782985120).

22022005200000 is an abundant number, since it is smaller than the sum of its proper divisors (56717560770240).

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

22022005200000 is an equidigital number, since it uses as much as digits as its factorization.

22022005200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411722 (or 1411690 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 22022005200000 its reverse (250022022), we get a palindrome (22022255222022).

The spelling of 22022005200000 in words is "twenty-two trillion, twenty-two billion, five million, two hundred thousand".