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22344980000 = 2554721512
BaseRepresentation
bin10100110011110111…
…010101011000100000
32010200021000121001212
4110303313111120200
5331230303330000
614133134245252
71420505124200
oct246367253040
963607017055
1022344980000
119527182222
1243b7356828
13215146b275
14111d902400
158aba74c35
hex533dd5620

22344980000 has 270 divisors, whose sum is σ = 64373318163. Its totient is φ = 7610400000.

The previous prime is 22344979997. The next prime is 22344980003. The reversal of 22344980000 is 8944322.

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 is an interprime number because it is at equal distance from previous prime (22344979997) and next prime (22344980003).

It can be written as a sum of positive squares in 3 ways, for example, as 5166159376 + 17178820624 = 71876^2 + 131068^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105700.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (22344980003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 147979925 + ... + 147980075.

Almost surely, 222344980000 is an apocalyptic number.

22344980000 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 22344980000

22344980000 is an abundant number, since it is smaller than the sum of its proper divisors (42028338163).

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

22344980000 is an frugal number, since it uses more digits than its factorization.

22344980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Multiplying 22344980000 by its sum of digits (32), we get a square (715039360000 = 8456002).

22344980000 divided by its sum of digits (32) gives a square (698280625 = 264252).

The spelling of 22344980000 in words is "twenty-two billion, three hundred forty-four million, nine hundred eighty thousand".