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23223529440 = 253552943479
BaseRepresentation
bin10101101000001110…
…101110111111100000
32012221111011112100000
4111220032232333200
5340030210420230
614400240500000
71451333512626
oct255016567740
965844145300
1023223529440
119938093441
12460161a600
1322614941c7
1411a4477516
1590dc65b60
hex5683aefe0

23223529440 has 576 divisors, whose sum is σ = 87178291200. Its totient is φ = 5828143104.

The previous prime is 23223529421. The next prime is 23223529463. The reversal of 23223529440 is 4492532232.

23223529440 is a `hidden beast` number, since 2 + 322 + 3 + 5 + 294 + 40 = 666.

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 = 23223529395 and 23223529404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48483121 + ... + 48483599.

It is an arithmetic number, because the mean of its divisors is an integer number (151351200).

Almost surely, 223223529440 is an apocalyptic number.

23223529440 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 23223529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43589145600).

23223529440 is an abundant number, since it is smaller than the sum of its proper divisors (63954761760).

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

23223529440 is a wasteful number, since it uses less digits than its factorization.

23223529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 23223529440 in words is "twenty-three billion, two hundred twenty-three million, five hundred twenty-nine thousand, four hundred forty".