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2214498693120 = 2123572811907
BaseRepresentation
bin100000001110011010011…
…010000111000000000000
321211201000012222110101120
4200032122122013000000
5242240243131134440
64413154320232240
7315664225212300
oct40163232070000
97751005873346
102214498693120
1178418886479a
122b922716b680
13130a985aa6ac
147927a37d600
153c90e240dd0
hex2039a687000

2214498693120 has 624 divisors, whose sum is σ = 8261614021248. Its totient is φ = 504989614080.

The previous prime is 2214498693083. The next prime is 2214498693131. The reversal of 2214498693120 is 213968944122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2441563707 + ... + 2441564613.

Almost surely, 22214498693120 is an apocalyptic number.

2214498693120 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 2214498693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130807010624).

2214498693120 is an abundant number, since it is smaller than the sum of its proper divisors (6047115328128).

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

2214498693120 is an equidigital number, since it uses as much as digits as its factorization.

2214498693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 2214498693120 in words is "two trillion, two hundred fourteen billion, four hundred ninety-eight million, six hundred ninety-three thousand, one hundred twenty".