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21077622225 = 3352112258067
BaseRepresentation
bin10011101000010100…
…101111110111010001
32000101221021011001000
4103220110233313101
5321131332402400
613403302332213
71344215555442
oct235024576721
960357234030
1021077622225
118a3684a600
124102a2a069
131caba21b1a
14103d47b2c9
15835681600
hex4e852fdd1

21077622225 has 72 divisors (see below), whose sum is σ = 42560574560. Its totient is φ = 10219413600.

The previous prime is 21077622221. The next prime is 21077622239. The reversal of 21077622225 is 52222677012.

21077622225 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 7 + 622 + 2 + 25 = 666.

It is not a de Polignac number, because 21077622225 - 22 = 21077622221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21077622225.

It is not an unprimeable number, because it can be changed into a prime (21077622221) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 47359 + ... + 210708.

Almost surely, 221077622225 is an apocalyptic number.

21077622225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21077622225 is an abundant number, since it is smaller than the sum of its proper divisors (21482952335).

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

21077622225 is a wasteful number, since it uses less digits than its factorization.

21077622225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258108 (or 258086 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 21077622225 in words is "twenty-one billion, seventy-seven million, six hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 121 135 165 225 275 297 363 495 605 675 825 1089 1485 1815 2475 3025 3267 5445 7425 9075 16335 27225 81675 258067 774201 1290335 2322603 2838737 3871005 6451675 6967809 8516211 11613015 14193685 19355025 25548633 31226107 34839045 42581055 58065075 70968425 76645899 93678321 127743165 156130535 174195225 212905275 281034963 383229495 468391605 638715825 780652675 843104889 1405174815 1916147475 2341958025 4215524445 7025874075 21077622225