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23212310240 = 2557232413739
BaseRepresentation
bin10101100111100011…
…111011111011100000
32012220201001112111002
4111213203323323200
5340014322411430
614355200211132
71451136244610
oct254743737340
965821045432
1023212310240
119931820279
1245b9909aa8
13225c066722
1411a2b96a40
1590cc9b845
hex5678fbee0

23212310240 has 192 divisors, whose sum is σ = 65687086080. Its totient is φ = 7578869760.

The previous prime is 23212310189. The next prime is 23212310249. The reversal of 23212310240 is 4201321232.

It is a super-2 number, since 2×232123102402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212310249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6206291 + ... + 6210029.

It is an arithmetic number, because the mean of its divisors is an integer number (342120240).

Almost surely, 223212310240 is an apocalyptic number.

23212310240 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 23212310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32843543040).

23212310240 is an abundant number, since it is smaller than the sum of its proper divisors (42474775840).

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

23212310240 is a wasteful number, since it uses less digits than its factorization.

23212310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23212310240 its reverse (4201321232), we get a palindrome (27413631472).

The spelling of 23212310240 in words is "twenty-three billion, two hundred twelve million, three hundred ten thousand, two hundred forty".