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23240221004000 = 25537111321412711
BaseRepresentation
bin1010100100011000010010…
…00111100001000011100000
310001021202001221221011121002
411102030021013201003200
511021231433034112000
6121232224331251132
74616023225101230
oct522141107410340
9101252057834532
1023240221004000
117450138981590
12273413aba9aa8
13cc770ac14a50
145a4b92cd1cc0
152a47e8b3d8d5
hex1523091e10e0

23240221004000 has 768 divisors, whose sum is σ = 76731478806528. Its totient is φ = 6680908800000.

The previous prime is 23240221003981. The next prime is 23240221004009. The reversal of 23240221004000 is 40012204232.

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 (23240221004009) 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, 8572562645 + ... + 8572565355.

It is an arithmetic number, because the mean of its divisors is an integer number (99910779696).

Almost surely, 223240221004000 is an apocalyptic number.

23240221004000 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 23240221004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38365739403264).

23240221004000 is an abundant number, since it is smaller than the sum of its proper divisors (53491257802528).

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

23240221004000 is a wasteful number, since it uses less digits than its factorization.

23240221004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23240221004000 its reverse (40012204232), we get a palindrome (23280233208232).

The spelling of 23240221004000 in words is "twenty-three trillion, two hundred forty billion, two hundred twenty-one million, four thousand".