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221200452000 = 25325311558587
BaseRepresentation
bin1100111000000010010…
…0110000100110100000
3210010221211200020022100
43032000210300212200
512111004303431000
6245341301210400
721660360550653
oct3160044604640
9703854606270
10221200452000
11858a0985610
1236a53700a00
1317b22618c28
14a9c59b389a
155b497b9a00
hex33809309a0

221200452000 has 288 divisors, whose sum is σ = 856409246784. Its totient is φ = 53624256000.

The previous prime is 221200451999. The next prime is 221200452001. The reversal of 221200452000 is 254002122.

221200452000 is a `hidden beast` number, since 2 + 212 + 0 + 0 + 452 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221200451999) and next prime (221200452001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221200452001) 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 47 ways as a sum of consecutive naturals, for example, 116707 + ... + 675293.

It is an arithmetic number, because the mean of its divisors is an integer number (2973643218).

Almost surely, 2221200452000 is an apocalyptic number.

221200452000 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 221200452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428204623392).

221200452000 is an abundant number, since it is smaller than the sum of its proper divisors (635208794784).

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

221200452000 is a wasteful number, since it uses less digits than its factorization.

221200452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558629 (or 558608 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 221200452000 its reverse (254002122), we get a palindrome (221454454122).

The spelling of 221200452000 in words is "two hundred twenty-one billion, two hundred million, four hundred fifty-two thousand".