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2214245341000 = 235371147611839
BaseRepresentation
bin100000001110001011010…
…011101001011101001000
321211200100120020211121201
4200032023103221131020
5242234233301403000
64413113230113544
7315655030566340
oct40161323513510
97750316224551
102214245341000
11784068851580
122b917634b8b4
13130a57c632b4
147925486dd20
153c8e6d9896a
hex2038b4e9748

2214245341000 has 256 divisors, whose sum is σ = 6597299404800. Its totient is φ = 675469152000.

The previous prime is 2214245340991. The next prime is 2214245341019. The reversal of 2214245341000 is 1435424122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2214245341000.

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, 3313081 + ... + 3924919.

It is an arithmetic number, because the mean of its divisors is an integer number (25770700800).

Almost surely, 22214245341000 is an apocalyptic number.

2214245341000 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 2214245341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298649702400).

2214245341000 is an abundant number, since it is smaller than the sum of its proper divisors (4383054063800).

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

2214245341000 is a wasteful number, since it uses less digits than its factorization.

2214245341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611925 (or 611911 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 2214245341000 in words is "two trillion, two hundred fourteen billion, two hundred forty-five million, three hundred forty-one thousand".