Search a number
-
+
22120101202200 = 2335283444178739
BaseRepresentation
bin1010000011110001111001…
…10001100100100100011000
32220022122211212220120102220
411001320330301210210120
510344403431401432300
6115013500104424040
74442060504632341
oct501707461444430
986278755816386
1022120101202200
11705909a505721
122593035178020
13c45bbb9a7211
145668936790c8
152855dbb59da0
hex141e3cc64918

22120101202200 has 96 divisors (see below), whose sum is σ = 69398486337600. Its totient is φ = 5827625042560.

The previous prime is 22120101202183. The next prime is 22120101202273. The reversal of 22120101202200 is 220210102122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22120101202200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222039570 + ... + 222139169.

It is an arithmetic number, because the mean of its divisors is an integer number (722900899350).

Almost surely, 222120101202200 is an apocalyptic number.

22120101202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120101202200 is an abundant number, since it is smaller than the sum of its proper divisors (47278385135400).

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

22120101202200 is a wasteful number, since it uses less digits than its factorization.

22120101202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444178841 (or 444178832 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22120101202200 its reverse (220210102122), we get a palindrome (22340311304322).

The spelling of 22120101202200 in words is "twenty-two trillion, one hundred twenty billion, one hundred one million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 444178739 888357478 1332536217 1776714956 2220893695 2665072434 3553429912 4441787390 5330144868 6662681085 8883574780 10660289736 11104468475 13325362170 17767149560 22208936950 26650724340 33313405425 36866835337 44417873900 53301448680 66626810850 73733670674 88835747800 110600506011 133253621700 147467341348 184334176685 221201012022 266507243400 294934682696 368668353370 442402024044 553002530055 737336706740 884804048088 921670883425 1106005060110 1474673413480 1843341766850 2212010120220 2765012650275 3686683533700 4424020240440 5530025300550 7373367067400 11060050601100 22120101202200