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2221549424640 = 21233573131753
BaseRepresentation
bin100000010100111110101…
…010100001000000000000
321212101012121011201202000
4200110332222201000000
5242344213123042030
64420322110024000
7316334031354000
oct40247652410000
97771177151660
102221549424640
11787176809737
122ba6744a8000
13131650266990
1479748944000
153cbc322b860
hex2053eaa1000

2221549424640 has 3328 divisors, whose sum is σ = 10700460288000. Its totient is φ = 432827006976.

The previous prime is 2221549424483. The next prime is 2221549424641. The reversal of 2221549424640 is 464249451222.

2221549424640 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 549 + 42 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×22215494246402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221549424641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41916026854 + ... + 41916026906.

Almost surely, 22221549424640 is an apocalyptic number.

2221549424640 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 2221549424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350230144000).

2221549424640 is an abundant number, since it is smaller than the sum of its proper divisors (8478910863360).

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

2221549424640 is a wasteful number, since it uses less digits than its factorization.

2221549424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2221549424640 in words is "two trillion, two hundred twenty-one billion, five hundred forty-nine million, four hundred twenty-four thousand, six hundred forty".