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2214410123000 = 2353172341472939
BaseRepresentation
bin100000001110010101001…
…000001111011011111000
321211200210001022122000202
4200032111020033123320
5242240102442414000
64413141434021332
7315662101323335
oct40162510173370
97750701278022
102214410123000
1178414286a749
122b9201577848
13130a8313953a
147926c6c598c
153c906597dd5
hex2039520f6f8

2214410123000 has 512 divisors, whose sum is σ = 5991526195200. Its totient is φ = 761153536000.

The previous prime is 2214410122979. The next prime is 2214410123087. The reversal of 2214410123000 is 3210144122.

It is a super-2 number, since 2×22144101230002 (a number of 25 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 753455531 + ... + 753458469.

It is an arithmetic number, because the mean of its divisors is an integer number (11702199600).

Almost surely, 22214410123000 is an apocalyptic number.

2214410123000 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 2214410123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995763097600).

2214410123000 is an abundant number, since it is smaller than the sum of its proper divisors (3777116072200).

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

2214410123000 is a wasteful number, since it uses less digits than its factorization.

2214410123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2214410123000 its reverse (3210144122), we get a palindrome (2217620267122).

The spelling of 2214410123000 in words is "two trillion, two hundred fourteen billion, four hundred ten million, one hundred twenty-three thousand".