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21922388158225 = 52233240192
BaseRepresentation
bin1001111110000001101000…
…01010001010011100010001
32212121202111220221021211111
410333000310022022130101
510333134022332030400
6114343001152013321
74421561133531532
oct477006412123421
985552456837744
1021922388158225
116a92261666425
122560857531241
13c30370413c79
1455b0991cc689
152803b937c3ba
hex13f03428a711

21922388158225 has 27 divisors (see below), whose sum is σ = 27307725199153. Its totient is φ = 17458295503040.

The previous prime is 21922388158147. The next prime is 21922388158241. The reversal of 21922388158225 is 52285188322912.

The square root of 21922388158225 is 4682135.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4317348419329 + 17605039738896 = 2077823^2 + 4195836^2 .

It is not a de Polignac number, because 21922388158225 - 215 = 21922388125457 is a prime.

It is a super-2 number, since 2×219223881582252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21922388158225.

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 26 ways as a sum of consecutive naturals, for example, 5454685266 + ... + 5454689284.

Almost surely, 221922388158225 is an apocalyptic number.

21922388158225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21922388158225 is the 4682135-th square number.

21922388158225 is the 2341068-th centered octagonal number.

It is an amenable number.

21922388158225 is a deficient number, since it is larger than the sum of its proper divisors (5385337040928).

21922388158225 is an frugal number, since it uses more digits than its factorization.

21922388158225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514 (or 4257 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 58.

The spelling of 21922388158225 in words is "twenty-one trillion, nine hundred twenty-two billion, three hundred eighty-eight million, one hundred fifty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 233 1165 4019 5825 20095 54289 100475 271445 936427 1357225 4682135 16152361 23410675 80761805 218187491 403809025 1090937455 3763500113 5454687275 18817500565 94087502825 876895526329 4384477631645 21922388158225