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2230023012000 = 25353731185363
BaseRepresentation
bin100000011100110111101…
…110101011111010100000
321220012002010201120100220
4200130313232223322200
5243014041342341000
64424243004243040
7320054022563220
oct40346756537240
97805063646326
102230023012000
1178a8249432a3
1230023a240480
131323a09449b4
1479d1008a080
153d01c0c41a0
hex20737babea0

2230023012000 has 384 divisors, whose sum is σ = 8376150601728. Its totient is φ = 508074624000.

The previous prime is 2230023011963. The next prime is 2230023012001. The reversal of 2230023012000 is 2103200322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2230023012001) 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, 26081319 + ... + 26166681.

It is an arithmetic number, because the mean of its divisors is an integer number (21812892192).

Almost surely, 22230023012000 is an apocalyptic number.

2230023012000 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 2230023012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188075300864).

2230023012000 is an abundant number, since it is smaller than the sum of its proper divisors (6146127589728).

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

2230023012000 is a wasteful number, since it uses less digits than its factorization.

2230023012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85709 (or 85691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2230023012000 its reverse (2103200322), we get a palindrome (2232126212322).

The spelling of 2230023012000 in words is "two trillion, two hundred thirty billion, twenty-three million, twelve thousand".