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23214988368 = 243311213127269
BaseRepresentation
bin10101100111101110…
…001001110001010000
32012220220002121012000
4111213232021301100
5340021014111433
614355333434000
71451201100555
oct254756116120
965826077160
1023214988368
11993328a400
1245ba79b900
13225c793710
1411a3292a2c
1590d12a113
hex567b89c50

23214988368 has 480 divisors, whose sum is σ = 79794892800. Its totient is φ = 6418621440.

The previous prime is 23214988301. The next prime is 23214988387. The reversal of 23214988368 is 86388941232.

23214988368 is a `hidden beast` number, since 232 + 1 + 49 + 8 + 8 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 86300938 + ... + 86301206.

It is an arithmetic number, because the mean of its divisors is an integer number (166239360).

Almost surely, 223214988368 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 23214988368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39897446400).

23214988368 is an abundant number, since it is smaller than the sum of its proper divisors (56579904432).

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

23214988368 is a wasteful number, since it uses less digits than its factorization.

23214988368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 23214988368 in words is "twenty-three billion, two hundred fourteen million, nine hundred eighty-eight thousand, three hundred sixty-eight".