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221221200438 = 2337585241271
BaseRepresentation
bin1100111000000111001…
…1111010001000110110
3210011000021201100211000
43032001303322020312
512111030111403223
6245343322024130
721661032115020
oct3160163721066
9704007640730
10221221200438
1185901667187
1236a5a648046
1317b26a01c04
14a9c8655010
155b4b517543
hex3381cfa236

221221200438 has 32 divisors (see below), whose sum is σ = 561831621120. Its totient is φ = 63206057160.

The previous prime is 221221200427. The next prime is 221221200509. The reversal of 221221200438 is 834002122122.

221221200438 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 21 + 200 + 438 = 666.

221221200438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292620258 + ... + 292621013.

It is an arithmetic number, because the mean of its divisors is an integer number (17557238160).

Almost surely, 2221221200438 is an apocalyptic number.

221221200438 is an abundant number, since it is smaller than the sum of its proper divisors (340610420682).

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

221221200438 is a wasteful number, since it uses less digits than its factorization.

221221200438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585241289 (or 585241283 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 221221200438 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 585241271 1170482542 1755723813 3511447626 4096688897 5267171439 8193377794 10534342878 12290066691 15801514317 24580133382 31603028634 36870200073 73740400146 110610600219 221221200438