Search a number
-
+
22206245820 = 2235111989101197
BaseRepresentation
bin10100101011100110…
…000110101110111100
32010022120222011112220
4110223212012232330
5330434244331240
614111300525340
71414201655313
oct245346065674
963276864486
1022206245820
119465935180
1243789b0850
13212b7b5135
14110930b27a
1589e7bd5d0
hex52b986bbc

22206245820 has 384 divisors, whose sum is σ = 73287244800. Its totient is φ = 4967424000.

The previous prime is 22206245819. The next prime is 22206245857. The reversal of 22206245820 is 2854260222.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 112721962 + ... + 112722158.

It is an arithmetic number, because the mean of its divisors is an integer number (190852200).

Almost surely, 222206245820 is an apocalyptic number.

22206245820 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 22206245820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36643622400).

22206245820 is an abundant number, since it is smaller than the sum of its proper divisors (51080998980).

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

22206245820 is a wasteful number, since it uses less digits than its factorization.

22206245820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 22206245820 in words is "twenty-two billion, two hundred six million, two hundred forty-five thousand, eight hundred twenty".