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23214110640 = 24357217831399
BaseRepresentation
bin10101100111101010…
…110011011110110000
32012220211110000011120
4111213222303132300
5340020303020030
614355302542240
71451160453600
oct254752633660
965824400146
1023214110640
11993283aa06
1245ba437980
13225c547056
1411a3104c00
1590d005010
hex567ab37b0

23214110640 has 480 divisors, whose sum is σ = 89769254400. Its totient is φ = 4930265088.

The previous prime is 23214110639. The next prime is 23214110693. The reversal of 23214110640 is 4601141232.

It is a super-2 number, since 2×232141106402 (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 self number, because there is not a number n which added to its sum of digits gives 23214110640.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16592661 + ... + 16594059.

It is an arithmetic number, because the mean of its divisors is an integer number (187019280).

Almost surely, 223214110640 is an apocalyptic number.

23214110640 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 23214110640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44884627200).

23214110640 is an abundant number, since it is smaller than the sum of its proper divisors (66555143760).

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

23214110640 is a wasteful number, since it uses less digits than its factorization.

23214110640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 23214110640 its reverse (4601141232), we get a palindrome (27815251872).

The spelling of 23214110640 in words is "twenty-three billion, two hundred fourteen million, one hundred ten thousand, six hundred forty".