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23223142254000 = 24353137934710861
BaseRepresentation
bin1010100011111000011110…
…01001010000010110110000
310001020002222201020202222210
411101330033021100112300
511020441443404112000
6121220321514332120
74614550054111203
oct521741711202660
9101202881222883
1023223142254000
117443974415967
12273097342a040
13cc5c1880b210
145a401299393a
152a41495ad350
hex151f0f2505b0

23223142254000 has 640 divisors, whose sum is σ = 81894238433280. Its totient is φ = 5627321856000.

The previous prime is 23223142253977. The next prime is 23223142254001. The reversal of 23223142254000 is 45224132232.

It is a super-2 number, since 2×232231422540002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23223142254001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2138208570 + ... + 2138219430.

It is an arithmetic number, because the mean of its divisors is an integer number (127959747552).

Almost surely, 223223142254000 is an apocalyptic number.

23223142254000 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 23223142254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947119216640).

23223142254000 is an abundant number, since it is smaller than the sum of its proper divisors (58671096179280).

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

23223142254000 is a wasteful number, since it uses less digits than its factorization.

23223142254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326 (or 11310 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 23223142254000 its reverse (45224132232), we get a palindrome (23268366386232).

The spelling of 23223142254000 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred forty-two million, two hundred fifty-four thousand".