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22255234344 = 23327217371069
BaseRepresentation
bin10100101110100000…
…111110110100101000
32010110000011001011200
4110232200332310220
5331034314444334
614120210524200
71415335241100
oct245640766450
963400131150
1022255234344
119490554a62
124391296660
1321389a8025
141111a20200
158a3c48799
hex52e83ed28

22255234344 has 144 divisors (see below), whose sum is σ = 74239974900. Its totient is φ = 5984584704.

The previous prime is 22255234343. The next prime is 22255234367. The reversal of 22255234344 is 44343255222.

22255234344 is a `hidden beast` number, since 2 + 22 + 552 + 3 + 43 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21794616900 + 460617444 = 147630^2 + 21462^2 .

It is a super-2 number, since 2×222552343442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22255234299 and 22255234308.

It is not an unprimeable number, because it can be changed into a prime (22255234343) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 125559 + ... + 245510.

Almost surely, 222255234344 is an apocalyptic number.

22255234344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22255234344 is an abundant number, since it is smaller than the sum of its proper divisors (51984740556).

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

22255234344 is a wasteful number, since it uses less digits than its factorization.

22255234344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371112 (or 371098 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

Adding to 22255234344 its reverse (44343255222), we get a palindrome (66598489566).

The spelling of 22255234344 in words is "twenty-two billion, two hundred fifty-five million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2499 2856 3332 3528 4284 4998 6664 7497 8568 9996 14994 19992 29988 59976 371069 742138 1113207 1484276 2226414 2597483 2968552 3339621 4452828 5194966 6308173 6679242 7792449 8905656 10389932 12616346 13358484 15584898 18182381 18924519 20779864 23377347 25232692 26716968 31169796 36364762 37849038 44157211 46754694 50465384 54547143 56773557 62339592 72729524 75698076 88314422 93509388 109094286 113547114 132471633 145459048 151396152 163641429 176628844 187018776 218188572 227094228 264943266 309100477 327282858 353257688 397414899 436377144 454188456 529886532 618200954 654565716 794829798 927301431 1059773064 1236401908 1309131432 1589659596 1854602862 2472803816 2781904293 3179319192 3709205724 5563808586 7418411448 11127617172 22255234344