Search a number
-
+
22067983872 = 293311279167
BaseRepresentation
bin10100100011010110…
…101011011000000000
32002221221210201211000
4110203112223120000
5330143400440442
614045441252000
71410602524254
oct244326533000
962857721730
1022067983872
1193a488aa00
12433a634000
132108c65c2c
1410d4bda264
158925abd4c
hex5235ab600

22067983872 has 480 divisors, whose sum is σ = 73145318400. Its totient is φ = 6563082240.

The previous prime is 22067983871. The next prime is 22067983891. The reversal of 22067983872 is 27838976022.

It is a super-2 number, since 2×220679838722 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22067983871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132143533 + ... + 132143699.

It is an arithmetic number, because the mean of its divisors is an integer number (152386080).

Almost surely, 222067983872 is an apocalyptic number.

22067983872 is a gapful number since it is divisible by the number (22) 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 22067983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36572659200).

22067983872 is an abundant number, since it is smaller than the sum of its proper divisors (51077334528).

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

22067983872 is a wasteful number, since it uses less digits than its factorization.

22067983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 22067983872 in words is "twenty-two billion, sixty-seven million, nine hundred eighty-three thousand, eight hundred seventy-two".