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2214224232000 = 263531117348481
BaseRepresentation
bin100000001110001010000…
…011000111111001000000
321211200022002112101111220
4200032022003013321000
5242234212400411000
64413111153435040
7315654353301144
oct40161203077100
97750262471456
102214224232000
11784057944020
122b916b26ba80
13130a53782171
1479251b37224
153c8e50c91a0
hex2038a0c7e40

2214224232000 has 448 divisors, whose sum is σ = 8022308007168. Its totient is φ = 533667840000.

The previous prime is 2214224231971. The next prime is 2214224232037. The reversal of 2214224232000 is 2324224122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45647760 + ... + 45696240.

It is an arithmetic number, because the mean of its divisors is an integer number (17906937516).

Almost surely, 22214224232000 is an apocalyptic number.

2214224232000 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 2214224232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011154003584).

2214224232000 is an abundant number, since it is smaller than the sum of its proper divisors (5808083775168).

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

2214224232000 is a wasteful number, since it uses less digits than its factorization.

2214224232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48695 (or 48675 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2214224232000 its reverse (2324224122), we get a palindrome (2216548456122).

The spelling of 2214224232000 in words is "two trillion, two hundred fourteen billion, two hundred twenty-four million, two hundred thirty-two thousand".