Search a number
-
+
22041355600 = 24521115731907
BaseRepresentation
bin10100100001110001…
…000110010101010000
32002220002200212200201
4110201301012111100
5330120041334400
614043050424544
71410130300645
oct244161062520
962802625621
1022041355600
119390852770
124331732154
1321035a1864
1410d1467dcc
1589009c06a
hex521c46550

22041355600 has 120 divisors (see below), whose sum is σ = 58138162848. Its totient is φ = 7963737600.

The previous prime is 22041355597. The next prime is 22041355621. The reversal of 22041355600 is 655314022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674847 + ... + 706753.

Almost surely, 222041355600 is an apocalyptic number.

22041355600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22041355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29069081424).

22041355600 is an abundant number, since it is smaller than the sum of its proper divisors (36096807248).

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

22041355600 is a wasteful number, since it uses less digits than its factorization.

22041355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32093 (or 32082 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 22041355600 its reverse (655314022), we get a palindrome (22696669622).

The spelling of 22041355600 in words is "twenty-two billion, forty-one million, three hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 157 176 200 220 275 314 400 440 550 628 785 880 1100 1256 1570 1727 2200 2512 3140 3454 3925 4400 6280 6908 7850 8635 12560 13816 15700 17270 27632 31400 31907 34540 43175 62800 63814 69080 86350 127628 138160 159535 172700 255256 319070 345400 350977 510512 638140 690800 701954 797675 1276280 1403908 1595350 1754885 2552560 2807816 3190700 3509770 5009399 5615632 6381400 7019540 8774425 10018798 12762800 14039080 17548850 20037596 25046995 28078160 35097700 40075192 50093990 55103389 70195400 80150384 100187980 110206778 125234975 140390800 200375960 220413556 250469950 275516945 400751920 440827112 500939900 551033890 881654224 1001879800 1102067780 1377584725 2003759600 2204135560 2755169450 4408271120 5510338900 11020677800 22041355600