Search a number
-
+
22296621219840 = 220355113743
BaseRepresentation
bin1010001000111010101100…
…01100000000000000000000
32220221112110212110120100000
411010131112030000000000
510410301440013013330
6115230532033200000
74460610026214312
oct504352614000000
986845425416300
1022296621219840
117116a42452620
122601299400000
13c597406705b6
1457123b2077b2
15289ebdaac560
hex144756300000

22296621219840 has 2016 divisors, whose sum is σ = 91896687058176. Its totient is φ = 5136847994880.

The previous prime is 22296621219799. The next prime is 22296621219869. The reversal of 22296621219840 is 4891212669222.

22296621219840 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 6 + 621 + 2 + 1 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518526074859 + ... + 518526074901.

It is an arithmetic number, because the mean of its divisors is an integer number (45583674136).

Almost surely, 222296621219840 is an apocalyptic number.

22296621219840 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 22296621219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45948343529088).

22296621219840 is an abundant number, since it is smaller than the sum of its proper divisors (69600065838336).

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

22296621219840 is an frugal number, since it uses more digits than its factorization.

22296621219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 22296621219840 in words is "twenty-two trillion, two hundred ninety-six billion, six hundred twenty-one million, two hundred nineteen thousand, eight hundred forty".