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19223424000 = 2103253113741
BaseRepresentation
bin10001111001110011…
…100010110000000000
31211121201021010020200
4101321303202300000
5303332144032000
612455304405200
71250242256634
oct217163426000
954551233220
1019223424000
118175137a80
123885a76800
131a74836801
14d050d6dc4
157779be500
hex479ce2c00

19223424000 has 1056 divisors, whose sum is σ = 79506004032. Its totient is φ = 4423680000.

The previous prime is 19223423977. The next prime is 19223424001. The reversal of 19223424000 is 42432291.

19223424000 is a `hidden beast` number, since 19 + 223 + 424 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (19223424001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468863980 + ... + 468864020.

Almost surely, 219223424000 is an apocalyptic number.

19223424000 is a gapful number since it is divisible by the number (10) 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 19223424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39753002016).

19223424000 is an abundant number, since it is smaller than the sum of its proper divisors (60282580032).

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

19223424000 is a wasteful number, since it uses less digits than its factorization.

19223424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 19223424000 its reverse (42432291), we get a palindrome (19265856291).

The spelling of 19223424000 in words is "nineteen billion, two hundred twenty-three million, four hundred twenty-four thousand".