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23219447040 = 28355193929
BaseRepresentation
bin10101100111111111…
…001010010100000000
32012221012111010100000
4111213333022110000
5340023134301130
614400013200000
71451254020606
oct254777122400
965835433300
1023219447040
119935855259
124600190000
132260694c9a
1411a3ad3876
1590d70b260
hex567fca500

23219447040 has 432 divisors, whose sum is σ = 87719486400. Its totient is φ = 5864472576.

The previous prime is 23219447003. The next prime is 23219447107. The reversal of 23219447040 is 4074491232.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 23219446986 and 23219447004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5907796 + ... + 5911724.

Almost surely, 223219447040 is an apocalyptic number.

23219447040 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 23219447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43859743200).

23219447040 is an abundant number, since it is smaller than the sum of its proper divisors (64500039360).

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

23219447040 is an equidigital number, since it uses as much as digits as its factorization.

23219447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23219447040 in words is "twenty-three billion, two hundred nineteen million, four hundred forty-seven thousand, forty".