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220230210012000 = 25353171517149403
BaseRepresentation
bin110010000100110001010111…
…011011111100001101100000
31001212202210122222211212101220
4302010301113123330031200
5212331222432230341000
62100220210051055040
764250051623216236
oct6204612733741540
91055683588755356
10220230210012000
1164199120186751
122084a10b8a1480
1395b6809608316
143c552b0238956
151a6da5e6591a0
hexc84c576fc360

220230210012000 has 384 divisors, whose sum is σ = 768972964451328. Its totient is φ = 54907407360000.

The previous prime is 220230210011927. The next prime is 220230210012023. The reversal of 220230210012000 is 210012032022.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27229299 + ... + 34378701.

It is an arithmetic number, because the mean of its divisors is an integer number (2002533761592).

Almost surely, 2220230210012000 is an apocalyptic number.

220230210012000 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 220230210012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384486482225664).

220230210012000 is an abundant number, since it is smaller than the sum of its proper divisors (548742754439328).

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

220230210012000 is a wasteful number, since it uses less digits than its factorization.

220230210012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149599 (or 7149581 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220230210012000 its reverse (210012032022), we get a palindrome (220440222044022).

The spelling of 220230210012000 in words is "two hundred twenty trillion, two hundred thirty billion, two hundred ten million, twelve thousand".