Search a number
-
+
22212021222100 = 2252911289784163
BaseRepresentation
bin1010000110011101000111…
…01000100111101011010100
32220122110002221122101201101
411003032203220213223110
510402410204413101400
6115124021153435444
74451523410126503
oct503164350475324
986573087571641
1022212021222100
117094079a06116
1225a8a08b6bb84
13c5177a51c538
1456b0d357283a
15287bbb84b56a
hex1433a3a27ad4

22212021222100 has 72 divisors (see below), whose sum is σ = 48270224757888. Its totient is φ = 8871886732800.

The previous prime is 22212021222049. The next prime is 22212021222107. The reversal of 22212021222100 is 122212021222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212021222107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263874619 + ... + 263958781.

It is an arithmetic number, because the mean of its divisors is an integer number (670419788304).

Almost surely, 222212021222100 is an apocalyptic number.

22212021222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212021222100 is an abundant number, since it is smaller than the sum of its proper divisors (26058203535788).

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

22212021222100 is a wasteful number, since it uses less digits than its factorization.

22212021222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87985 (or 87978 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22212021222100 its reverse (122212021222), we get a palindrome (22334233243322).

The spelling of 22212021222100 in words is "twenty-two trillion, two hundred twelve billion, twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 911 1822 2897 3644 4555 5794 9110 11588 14485 18220 22775 28970 45550 57940 72425 84163 91100 144850 168326 289700 336652 420815 841630 1683260 2104075 2639167 4208150 5278334 8416300 10556668 13195835 26391670 52783340 65979175 76672493 131958350 153344986 243820211 263916700 306689972 383362465 487640422 766724930 975280844 1219101055 1533449860 1916812325 2438202110 3833624650 4876404220 6095505275 7667249300 12191010550 24382021100 222120212221 444240424442 888480848884 1110601061105 2221202122210 4442404244420 5553005305525 11106010611050 22212021222100