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222221025 = 3252131741109
BaseRepresentation
bin11010011111011…
…01001011100001
3120111010222221100
431033231023201
5423342033100
634014545013
75335563465
oct1517551341
9514128840
10222221025
1110448aa44
1262508169
1337067640
14217284a5
1514798400
hexd3ed2e1

222221025 has 144 divisors (see below), whose sum is σ = 469188720. Its totient is φ = 99532800.

The previous prime is 222220993. The next prime is 222221047. The reversal of 222221025 is 520122222.

It can be written as a sum of positive squares in 24 ways, for example, as 186076881 + 36144144 = 13641^2 + 6012^2 .

It is not a de Polignac number, because 222221025 - 25 = 222220993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222220989 and 222221007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2038671 + ... + 2038779.

It is an arithmetic number, because the mean of its divisors is an integer number (3258255).

Almost surely, 2222221025 is an apocalyptic number.

222221025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

222221025 is an abundant number, since it is smaller than the sum of its proper divisors (246967695).

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

222221025 is a wasteful number, since it uses less digits than its factorization.

222221025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

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

The square root of 222221025 is about 14907.0796938904. The cubic root of 222221025 is about 605.7057765268.

Adding to 222221025 its reverse (520122222), we get a palindrome (742343247).

The spelling of 222221025 in words is "two hundred twenty-two million, two hundred twenty-one thousand, twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 41 45 51 65 75 85 109 117 123 153 195 205 221 225 255 325 327 369 425 533 545 585 615 663 697 765 975 981 1025 1105 1275 1417 1599 1635 1845 1853 1989 2091 2665 2725 2925 3075 3315 3485 3825 4251 4469 4797 4905 5525 5559 6273 7085 7995 8175 9061 9225 9265 9945 10455 12753 13325 13407 16575 16677 17425 21255 22345 23985 24089 24525 27183 27795 31365 35425 39975 40221 45305 46325 49725 52275 58097 63765 67035 72267 75973 81549 83385 106275 111725 119925 120445 135915 138975 156825 174291 201105 216801 226525 227919 290485 318825 335175 361335 379865 407745 416925 522873 602225 679575 683757 871455 987649 1005525 1084005 1139595 1452425 1806675 1899325 2038725 2614365 2962947 3418785 4357275 4938245 5420025 5697975 8888841 13071825 14814735 17093925 24691225 44444205 74073675 222221025