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2225213025 = 352719259199
BaseRepresentation
bin1000010010100010…
…0000111001100001
312202002010112102020
42010220200321201
514024123304100
61004450012053
7106066666350
oct20450407141
95662115366
102225213025
11a42090532
12521277029
1329601b7c9
14171761997
15d054c5a0
hex84a20e61

2225213025 has 144 divisors (see below), whose sum is σ = 4535424000. Its totient is φ = 942606720.

The previous prime is 2225212991. The next prime is 2225213051. The reversal of 2225213025 is 5203125222.

It is not a de Polignac number, because 2225213025 - 212 = 2225208929 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2225212986 and 2225213004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11181876 + ... + 11182074.

It is an arithmetic number, because the mean of its divisors is an integer number (31496000).

Almost surely, 22225213025 is an apocalyptic number.

2225213025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2225213025 is an abundant number, since it is smaller than the sum of its proper divisors (2310210975).

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

2225213025 is a wasteful number, since it uses less digits than its factorization.

2225213025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2225213025 is about 47172.1636667219. The cubic root of 2225213025 is about 1305.5410478008.

Adding to 2225213025 its reverse (5203125222), we get a palindrome (7428338247).

The spelling of 2225213025 in words is "two billion, two hundred twenty-five million, two hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 57 59 75 95 105 133 175 177 199 285 295 361 399 413 475 525 597 665 885 995 1083 1121 1239 1393 1425 1475 1805 1995 2065 2527 2985 3325 3363 3781 4179 4425 4975 5415 5605 6195 6965 7581 7847 9025 9975 10325 11343 11741 12635 14925 16815 18905 20895 21299 23541 26467 27075 28025 30975 34825 35223 37905 39235 56715 58705 63175 63897 71839 79401 82187 84075 94525 104475 106495 117705 132335 149093 176115 189525 196175 215517 223079 246561 283575 293525 319485 359195 397005 410935 447279 502873 532475 588525 661675 669237 745465 880575 1077585 1115395 1232805 1508619 1561553 1597425 1795975 1985025 2054675 2236395 2514365 3346185 3727325 4238501 4684659 5387925 5576975 6164025 7543095 7807765 11181975 12571825 12715503 16730925 21192505 23423295 29669507 37715475 39038825 63577515 89008521 105962525 117116475 148347535 317887575 445042605 741737675 2225213025