Search a number
-
+
22010212022200 = 2352751178782003
BaseRepresentation
bin1010000000100101001101…
…10111100111011110111000
32212221011012112000211112021
411000102212313213132320
510341103403234202300
6114451203554124224
74431120400210303
oct500224667473670
985834175024467
1022010212022200
117016529977296
122575887580674
13c3872843b99c
1456142b0a1b3a
15282809652d1a
hex1404a6de77b8

22010212022200 has 96 divisors (see below), whose sum is σ = 51271183791360. Its totient is φ = 8787334320000.

The previous prime is 22010212022171. The next prime is 22010212022203. The reversal of 22010212022200 is 222021201022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010212022203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268366399 + ... + 268448401.

It is an arithmetic number, because the mean of its divisors is an integer number (534074831160).

Almost surely, 222010212022200 is an apocalyptic number.

22010212022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010212022200 is an abundant number, since it is smaller than the sum of its proper divisors (29260971769160).

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

22010212022200 is a wasteful number, since it uses less digits than its factorization.

22010212022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84557 (or 84548 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22010212022200 its reverse (222021201022), we get a palindrome (22232233223222).

The spelling of 22010212022200 in words is "twenty-two trillion, ten billion, two hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 751 1502 1787 3004 3574 3755 6008 7148 7510 8935 14296 15020 17870 18775 30040 35740 37550 44675 71480 75100 82003 89350 150200 164006 178700 328012 357400 410015 656024 820030 1342037 1640060 2050075 2684074 3280120 4100150 5368148 6710185 8200300 10736296 13420370 16400600 26840740 33550925 53681480 61584253 67101850 123168506 134203700 146539361 246337012 268407400 293078722 307921265 492674024 586157444 615842530 732696805 1172314888 1231685060 1465393610 1539606325 2463370120 2930787220 3079212650 3663484025 5861574440 6158425300 7326968050 12316850600 14653936100 29307872200 110051060111 220102120222 440204240444 550255300555 880408480888 1100510601110 2201021202220 2751276502775 4402042404440 5502553005550 11005106011100 22010212022200