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2493202223160 = 23345111967179307
BaseRepresentation
bin100100010001111110011…
…011101101000000111000
322211100101112211201110000
4210101332123231000320
5311322034232120120
65145210012153000
7345061606142145
oct44217633550070
98740345751400
102493202223160
118813a77259a0
12343248468760
1315115326138c
1488958d573cc
1544cc1e3e990
hex2447e6ed038

2493202223160 has 1280 divisors, whose sum is σ = 9853062912000. Its totient is φ = 559076981760.

The previous prime is 2493202223147. The next prime is 2493202223167. The reversal of 2493202223160 is 613222023942.

2493202223160 is a `hidden beast` number, since 2 + 49 + 320 + 2 + 2 + 231 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493202223167) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8121179727 + ... + 8121180033.

It is an arithmetic number, because the mean of its divisors is an integer number (7697705400).

Almost surely, 22493202223160 is an apocalyptic number.

2493202223160 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 2493202223160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926531456000).

2493202223160 is an abundant number, since it is smaller than the sum of its proper divisors (7359860688840).

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

2493202223160 is a wasteful number, since it uses less digits than its factorization.

2493202223160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2493202223160 in words is "two trillion, four hundred ninety-three billion, two hundred two million, two hundred twenty-three thousand, one hundred sixty".