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22145245254 = 23211371011732
BaseRepresentation
bin10100100111111101…
…011010000001000110
32010011100012000111200
4110213331122001012
5330323140322004
614101241243330
71412531323146
oct244775320106
963140160450
1022145245254
119434460590
124360493546
13211bc77922
14110118c926
1589926e239
hex527f5a046

22145245254 has 144 divisors (see below), whose sum is σ = 54605878704. Its totient is φ = 6427296000.

The previous prime is 22145245249. The next prime is 22145245271. The reversal of 22145245254 is 45254254122.

22145245254 is a `hidden beast` number, since 22 + 14 + 524 + 52 + 54 = 666.

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 71 ways as a sum of consecutive naturals, for example, 128007112 + ... + 128007284.

It is an arithmetic number, because the mean of its divisors is an integer number (379207491).

Almost surely, 222145245254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22145245254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302939352).

22145245254 is an abundant number, since it is smaller than the sum of its proper divisors (32460633450).

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

22145245254 is a wasteful number, since it uses less digits than its factorization.

22145245254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 327 counting only the distinct ones).

The product of its digits is 128000, while the sum is 36.

Adding to 22145245254 its reverse (45254254122), we get a palindrome (67399499376).

The spelling of 22145245254 in words is "twenty-two billion, one hundred forty-five million, two hundred forty-five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 101 111 173 198 202 222 303 333 346 407 519 606 666 814 909 1038 1111 1221 1557 1818 1903 2222 2442 3114 3333 3663 3737 3806 5709 6401 6666 7326 7474 9999 11211 11418 12802 17127 17473 19203 19998 22422 29929 33633 34254 34946 38406 41107 52419 57609 59858 67266 70411 82214 89787 104838 115218 123321 140822 157257 179574 192203 211233 246642 269361 314514 329219 369963 384406 422466 538722 576609 633699 646501 658438 739926 987657 1107373 1153218 1267398 1293002 1729827 1939503 1975314 2214746 2962971 3022829 3322119 3459654 3879006 5818509 5925942 6045658 6644238 7111511 9068487 9966357 11637018 12181103 14223022 18136974 19932714 21334533 24362206 27205461 33251119 36543309 42669066 54410922 64003599 66502238 73086618 99753357 109629927 111844673 128007198 199506714 219259854 223689346 299260071 335534019 598520142 671068038 1006602057 1230291403 2013204114 2460582806 3690874209 7381748418 11072622627 22145245254