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2246365141020 = 2232571113101123439
BaseRepresentation
bin100000101100000101110…
…010111101100000011100
321221202021001022201221200
4200230011302331200130
5243301023434003040
64435544344555500
7321203010436230
oct40540562754034
97852231281850
102246365141020
11796750617750
1230343b182b90
13133aa6559620
147aa2063a5c0
153d676b4b630
hex20b05cbd81c

2246365141020 has 576 divisors, whose sum is σ = 9239489925120. Its totient is φ = 426601728000.

The previous prime is 2246365140991. The next prime is 2246365141021. The reversal of 2246365141020 is 201415636422.

2246365141020 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 36 + 514 + 102 + 0 = 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 (2246365141021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18136461 + ... + 18259899.

It is an arithmetic number, because the mean of its divisors is an integer number (16040781120).

Almost surely, 22246365141020 is an apocalyptic number.

2246365141020 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 2246365141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619744962560).

2246365141020 is an abundant number, since it is smaller than the sum of its proper divisors (6993124784100).

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

2246365141020 is a wasteful number, since it uses less digits than its factorization.

2246365141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123586 (or 123581 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2246365141020 in words is "two trillion, two hundred forty-six billion, three hundred sixty-five million, one hundred forty-one thousand, twenty".