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223443451008 = 27321927332
BaseRepresentation
bin1101000000011001000…
…1000111110010000000
3210100202011021101111200
43100012101013302000
512130103010413013
6250352024341200
722100064665451
oct3200621076200
9710664241450
10223443451008
11868420039a8
123737a914800
13180bc22418b
14ab59845128
155c2b67be73
hex3406447c80

223443451008 has 216 divisors, whose sum is σ = 679531119345. Its totient is φ = 70464826368.

The previous prime is 223443450983. The next prime is 223443451031. The reversal of 223443451008 is 800154344322.

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 2 ways, for example, as 144284503104 + 79158947904 = 379848^2 + 281352^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334248.

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

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 26 ways as a sum of consecutive naturals, for example, 304833810 + ... + 304834542.

Almost surely, 2223443451008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223443451008

223443451008 is an abundant number, since it is smaller than the sum of its proper divisors (456087668337).

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

223443451008 is an frugal number, since it uses more digits than its factorization.

223443451008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 223443451008 in words is "two hundred twenty-three billion, four hundred forty-three million, four hundred fifty-one thousand, eight".