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22641365425 = 5271724161179
BaseRepresentation
bin10101000101100001…
…111101000110110001
32011102220201112102211
4111011201331012301
5332332142143200
614222403012121
71431034300510
oct250541750661
964386645384
1022641365425
119669507a58
12447a66a041
13219a9a1a63
14114b014677
158c7abcaba
hex54587d1b1

22641365425 has 144 divisors (see below), whose sum is σ = 35686465920. Its totient is φ = 13943808000.

The previous prime is 22641365407. The next prime is 22641365449. The reversal of 22641365425 is 52456314622.

It is a happy number.

It is not a de Polignac number, because 22641365425 - 215 = 22641332657 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126487986 + ... + 126488164.

It is an arithmetic number, because the mean of its divisors is an integer number (247822680).

Almost surely, 222641365425 is an apocalyptic number.

22641365425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22641365425 is a deficient number, since it is larger than the sum of its proper divisors (13045100495).

22641365425 is a wasteful number, since it uses less digits than its factorization.

22641365425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The spelling of 22641365425 in words is "twenty-two billion, six hundred forty-one million, three hundred sixty-five thousand, four hundred twenty-five".

Divisors: 1 5 7 17 25 35 41 61 85 119 175 179 205 287 289 305 425 427 595 697 895 1025 1037 1253 1435 1445 1525 2023 2135 2501 2975 3043 3485 4475 4879 5185 6265 7175 7225 7259 7339 10115 10675 10919 11849 12505 15215 17425 17507 17629 21301 24395 25925 31325 36295 36695 42517 50575 51373 51731 54595 59245 62525 76075 76433 82943 87535 88145 106505 121975 123403 124763 181475 183475 185623 212585 256865 258655 272975 296225 297619 362117 382165 414715 437675 440725 447679 532525 617015 623815 722789 873341 928115 1062925 1284325 1293275 1299361 1488095 1810585 1910825 2073575 2120971 2238395 3085075 3119075 3133753 3155591 3613945 4366705 4640575 5059523 6496805 7440475 7610543 9052925 10604855 11191975 14846797 15668765 15777955 18069725 21833525 22089137 25297615 32484025 38052715 53024275 53273801 74233985 78343825 78889775 110445685 126488075 129379231 190263575 266369005 371169925 552228425 646896155 905654617 1331845025 3234480775 4528273085 22641365425