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16221843225 = 32527212132
BaseRepresentation
bin11110001101110010…
…11010111100011001
31112212112021000111100
433012321122330121
5231210242440400
611241402222013
71112664251400
oct170671327431
945775230440
1016221843225
116974897a05
1231887b4909
1316b6a1a903
14adc5dc637
1564e217100
hex3c6e5af19

16221843225 has 81 divisors (see below), whose sum is σ = 33826704093. Its totient is φ = 7409586240.

The previous prime is 16221843203. The next prime is 16221843257. The reversal of 16221843225 is 52234812261.

The square root of 16221843225 is 127365.

It is a perfect power (a square), and thus also a powerful number.

16221843225 is a `hidden beast` number, since 1 + 6 + 2 + 218 + 432 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7116103449 + 9105739776 = 84357^2 + 95424^2 .

It is not a de Polignac number, because 16221843225 - 219 = 16221318937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16221843225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13372719 + ... + 13373931.

Almost surely, 216221843225 is an apocalyptic number.

16221843225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16221843225 is the 127365-th square number.

16221843225 is the 63683-rd centered octagonal number.

It is an amenable number.

16221843225 is an abundant number, since it is smaller than the sum of its proper divisors (17604860868).

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

16221843225 is an equidigital number, since it uses as much as digits as its factorization.

16221843225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 1228 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Multiplying 16221843225 by its sum of digits (36), we get a square (583986356100 = 7641902).

The spelling of 16221843225 in words is "sixteen billion, two hundred twenty-one million, eight hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1213 1225 1575 2205 3639 3675 6065 8491 10917 11025 18195 25473 30325 42455 54585 59437 76419 90975 127365 178311 212275 272925 297185 382095 534933 636825 891555 1471369 1485925 1910475 2674665 4414107 4457775 7356845 10299583 13242321 13373325 22070535 30898749 36784225 51497915 66211605 72097081 92696247 110352675 154493745 216291243 257489575 331058025 360485405 463481235 648873729 772468725 1081456215 1802427025 2317406175 3244368645 5407281075 16221843225