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23240241024 = 27371113103587
BaseRepresentation
bin10101101001001110…
…011110111110000000
32012222122121120022120
4111221032132332000
5340044000203044
614402035004240
71451625534510
oct255116367600
965878546276
1023240241024
119946568070
124607139680
132264a95910
1411a6787840
15910467519
hex56939ef80

23240241024 has 512 divisors, whose sum is σ = 83832053760. Its totient is φ = 5508587520.

The previous prime is 23240241007. The next prime is 23240241029. The reversal of 23240241024 is 42014204232.

It is a super-2 number, since 2×232402410242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23240240985 and 23240241003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23240241029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39591259 + ... + 39591845.

It is an arithmetic number, because the mean of its divisors is an integer number (163734480).

Almost surely, 223240241024 is an apocalyptic number.

23240241024 is a gapful number since it is divisible by the number (24) 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 23240241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41916026880).

23240241024 is an abundant number, since it is smaller than the sum of its proper divisors (60591812736).

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

23240241024 is a wasteful number, since it uses less digits than its factorization.

23240241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23240241024 its reverse (42014204232), we get a palindrome (65254445256).

The spelling of 23240241024 in words is "twenty-three billion, two hundred forty million, two hundred forty-one thousand, twenty-four".