Search a number
-
+
22472360064 = 27357112853
BaseRepresentation
bin10100111011011101…
…010000000010000000
32011000010201011200000
4110323131100002000
5332010411010224
614153524400000
71423612623510
oct247335200200
964003634600
1022472360064
119592074800
124431b46000
13217197a39b
1411327bd840
158b7d370c9
hex53b750080

22472360064 has 576 divisors, whose sum is σ = 84341449920. Its totient is φ = 5830133760.

The previous prime is 22472360047. The next prime is 22472360089. The reversal of 22472360064 is 46006327422.

22472360064 is a `hidden beast` number, since 2 + 2 + 47 + 2 + 3 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26344662 + ... + 26345514.

Almost surely, 222472360064 is an apocalyptic number.

22472360064 is a gapful number since it is divisible by the number (24) 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 22472360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42170724960).

22472360064 is an abundant number, since it is smaller than the sum of its proper divisors (61869089856).

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

22472360064 is an equidigital number, since it uses as much as digits as its factorization.

22472360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 22472360064 its reverse (46006327422), we get a palindrome (68478687486).

The spelling of 22472360064 in words is "twenty-two billion, four hundred seventy-two million, three hundred sixty thousand, sixty-four".