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2292901380000 = 253254711198707
BaseRepresentation
bin100001010111011011100…
…100100111111110100000
322010012101020110121201100
4201113123210213332200
5300031330223130000
64513202214034400
7324441143104320
oct41273344477640
98105336417640
102292901380000
11804461064890
12310468048a00
131382b180a6ca
147cd96d23280
153e99c391a00
hex215db927fa0

2292901380000 has 1440 divisors, whose sum is σ = 10694354711040. Its totient is φ = 451319040000.

The previous prime is 2292901379957. The next prime is 2292901380031. The reversal of 2292901380000 is 831092922.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 263335647 + ... + 263344353.

It is an arithmetic number, because the mean of its divisors is an integer number (7426635216).

Almost surely, 22292901380000 is an apocalyptic number.

2292901380000 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 2292901380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347177355520).

2292901380000 is an abundant number, since it is smaller than the sum of its proper divisors (8401453331040).

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

2292901380000 is a wasteful number, since it uses less digits than its factorization.

2292901380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2292901380000 in words is "two trillion, two hundred ninety-two billion, nine hundred one million, three hundred eighty thousand".