Search a number
-
+
22112100200220 = 22351953365973191
BaseRepresentation
bin1010000011100010111111…
…11000001010111100011100
32220021220012021121120002020
411001301133320022330130
510344241040122401340
6115010054131300140
74441355312350062
oct501613770127434
986256167546066
1022112100200220
117055764113498
12259158174a650
13c452151a3014
14566334bd0032
152852be5129d0
hex141c5fe0af1c

22112100200220 has 96 divisors (see below), whose sum is σ = 66402175956480. Its totient is φ = 5480814493440.

The previous prime is 22112100200191. The next prime is 22112100200237. The reversal of 22112100200220 is 2200200121122.

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 22112100200220.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 182926176 + ... + 183047015.

It is an arithmetic number, because the mean of its divisors is an integer number (691689332880).

Almost surely, 222112100200220 is an apocalyptic number.

22112100200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112100200220 is an abundant number, since it is smaller than the sum of its proper divisors (44290075756260).

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

22112100200220 is a wasteful number, since it uses less digits than its factorization.

22112100200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365973275 (or 365973273 counting only the distinct ones).

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

Adding to 22112100200220 its reverse (2200200121122), we get a palindrome (24312300321342).

The spelling of 22112100200220 in words is "twenty-two trillion, one hundred twelve billion, one hundred million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 53 57 60 76 95 106 114 159 190 212 228 265 285 318 380 530 570 636 795 1007 1060 1140 1590 2014 3021 3180 4028 5035 6042 10070 12084 15105 20140 30210 60420 365973191 731946382 1097919573 1463892764 1829865955 2195839146 3659731910 4391678292 5489597865 6953490629 7319463820 10979195730 13906981258 19396579123 20860471887 21958391460 27813962516 34767453145 38793158246 41720943774 58189737369 69534906290 77586316492 83441887548 96982895615 104302359435 116379474738 139069812580 193965791230 208604718870 232758949476 290948686845 368535003337 387931582460 417209437740 581897373690 737070006674 1105605010011 1163794747380 1474140013348 1842675016685 2211210020022 3685350033370 4422420040044 5528025050055 7370700066740 11056050100110 22112100200220