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2224473666240 = 263572312336547
BaseRepresentation
bin100000010111101100111…
…101100111001011000000
321212122202101122121002110
4200113230331213023000
5242421210224304430
64421524210415320
7316466350120500
oct40275475471300
97778671577073
102224473666240
11788437435731
122bb14b891540
131319c8044657
1479945069a00
153cce4d087b0
hex205ecf672c0

2224473666240 has 672 divisors, whose sum is σ = 8518523480064. Its totient is φ = 489862840320.

The previous prime is 2224473666223. The next prime is 2224473666367. The reversal of 2224473666240 is 426663744222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2224473666240.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339766647 + ... + 339773193.

Almost surely, 22224473666240 is an apocalyptic number.

2224473666240 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 2224473666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259261740032).

2224473666240 is an abundant number, since it is smaller than the sum of its proper divisors (6294049813824).

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

2224473666240 is a wasteful number, since it uses less digits than its factorization.

2224473666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 48.

The spelling of 2224473666240 in words is "two trillion, two hundred twenty-four billion, four hundred seventy-three million, six hundred sixty-six thousand, two hundred forty".