Search a number
-
+
221220111022200 = 233252128749954571
BaseRepresentation
bin110010010011001011010010…
…001000100111100001111000
31002000021102202220020110021200
4302103023102020213201320
5212443432241410202300
62102255041021134200
764411424402036313
oct6223132210474170
91060242686213250
10221220111022200
116453aa16526084
1220989b336ba360
139658c75537944
143c8b17931197a
151a896994ac200
hexc932d2227878

221220111022200 has 144 divisors (see below), whose sum is σ = 742937421525000. Its totient is φ = 58991509612800.

The previous prime is 221220111022193. The next prime is 221220111022201. The reversal of 221220111022200 is 2220111022122.

It is a happy number.

221220111022200 is a `hidden beast` number, since 221 + 220 + 1 + 1 + 1 + 0 + 2 + 220 + 0 = 666.

It is a super-3 number, since 3×2212201110222003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220111022201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231270915 + ... + 232225485.

Almost surely, 2221220111022200 is an apocalyptic number.

221220111022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220111022200 is an abundant number, since it is smaller than the sum of its proper divisors (521717310502800).

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

221220111022200 is a wasteful number, since it uses less digits than its factorization.

221220111022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083342 (or 1083330 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221220111022200 its reverse (2220111022122), we get a palindrome (223440222044322).

The spelling of 221220111022200 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 128749 257498 386247 514996 643745 772494 954571 1029992 1158741 1287490 1544988 1909142 1931235 2317482 2574980 2863713 3089976 3218725 3818284 3862470 4634964 4772855 5149960 5727426 5793705 6437450 7636568 7724940 8591139 9269928 9545710 9656175 11454852 11587410 12874900 14318565 15449880 17182278 19091420 19312350 22909704 23174820 23864275 25749800 28637130 28968525 34364556 38182840 38624700 42955695 46349640 47728550 57274260 57937050 68729112 71592825 77249400 85911390 95457100 114548520 115874100 143185650 171822780 190914200 214778475 231748200 286371300 343645560 429556950 572742600 859113900 1718227800 122900061679 245800123358 368700185037 491600246716 614500308395 737400370074 983200493432 1106100555111 1229000616790 1474800740148 1843500925185 2212201110222 2458001233580 2949601480296 3072501541975 3687001850370 4424402220444 4916002467160 5530502775555 6145003083950 7374003700740 8848804440888 9217504625925 11061005551110 12290006167900 14748007401480 18435009251850 22122011102220 24580012335800 27652513877775 36870018503700 44244022204440 55305027755550 73740037007400 110610055511100 221220111022200