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22029005000000 = 265720992
BaseRepresentation
bin1010000001001000001110…
…00001001000110101000000
32212222221201020100000121002
411000210013001020311000
510341410400240000000
6114503552444551132
74432354164661115
oct500440701106500
985887636300532
1022029005000000
1170234a30336a9
1225794512524a8
13c3a431a33aab
145622d0d4a90c
152830594478d5
hex140907048d40

22029005000000 has 168 divisors, whose sum is σ = 54668163467112. Its totient is φ = 8807404000000.

The previous prime is 22029004999999. The next prime is 22029005000017. The reversal of 22029005000000 is 50092022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 21791867166976 + 237137833024 = 4668176^2 + 486968^2 .

It is a super-2 number, since 2×220290050000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 10494998951 + ... + 10495001049.

Almost surely, 222029005000000 is an apocalyptic number.

22029005000000 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 22029005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27334081733556).

22029005000000 is an abundant number, since it is smaller than the sum of its proper divisors (32639158467112).

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

22029005000000 is an frugal number, since it uses more digits than its factorization.

22029005000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Multiplying 22029005000000 by its sum of digits (20), we get a square (440580100000000 = 209900002).

22029005000000 divided by its sum of digits (20) gives a square (1101450250000 = 10495002).

Adding to 22029005000000 its reverse (50092022), we get a palindrome (22029055092022).

The spelling of 22029005000000 in words is "twenty-two trillion, twenty-nine billion, five million", and thus it is an aban number and an uban number.