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2241601071780 = 22357127112937223
BaseRepresentation
bin100000100111101001110…
…101011110101010100100
321221021222000212221112210
4200213221311132222210
5243211244333244110
64433435522243420
7320643651505440
oct40475165365244
97837860787483
102241601071780
11794726403a44
1230252b7b6570
131334c7555645
147a6cba31820
153d49879a520
hex209e9d5eaa4

2241601071780 has 192 divisors, whose sum is σ = 7236202659840. Its totient is φ = 507867687936.

The previous prime is 2241601071767. The next prime is 2241601071797. The reversal of 2241601071780 is 871701061422.

2241601071780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 60202249 + ... + 60239471.

It is an arithmetic number, because the mean of its divisors is an integer number (37688555520).

Almost surely, 22241601071780 is an apocalyptic number.

2241601071780 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 2241601071780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618101329920).

2241601071780 is an abundant number, since it is smaller than the sum of its proper divisors (4994601588060).

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

2241601071780 is a wasteful number, since it uses less digits than its factorization.

2241601071780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38498 (or 38496 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 2241601071780 in words is "two trillion, two hundred forty-one billion, six hundred one million, seventy-one thousand, seven hundred eighty".