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2220111133000 = 235323733131687
BaseRepresentation
bin100000010011101000111…
…011110111100101001000
321212020111100202221112021
4200103220323313211020
5242333241422224000
64415523250254224
7316253265156625
oct40235073674510
97766440687467
102220111133000
117865a8946962
122ba332887374
1313148129c137
147964d90534c
153cb3bd2111a
hex204e8ef7948

2220111133000 has 128 divisors (see below), whose sum is σ = 5428368990720. Its totient is φ = 848268537600.

The previous prime is 2220111132971. The next prime is 2220111133013. The reversal of 2220111133000 is 3311110222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16793157 + ... + 16924843.

It is an arithmetic number, because the mean of its divisors is an integer number (42409132740).

Almost surely, 22220111133000 is an apocalyptic number.

2220111133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220111133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714184495360).

2220111133000 is an abundant number, since it is smaller than the sum of its proper divisors (3208257857720).

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

2220111133000 is a wasteful number, since it uses less digits than its factorization.

2220111133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132464 (or 132450 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2220111133000 its reverse (3311110222), we get a palindrome (2223422243222).

The spelling of 2220111133000 in words is "two trillion, two hundred twenty billion, one hundred eleven million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 733 920 1000 1150 1466 2300 2875 2932 3665 4600 5750 5864 7330 11500 14660 16859 18325 23000 29320 33718 36650 67436 73300 84295 91625 131687 134872 146600 168590 183250 263374 337180 366500 421475 526748 658435 674360 733000 842950 1053496 1316870 1685900 2107375 2633740 3028801 3292175 3371800 4214750 5267480 6057602 6584350 8429500 12115204 13168700 15144005 16460875 16859000 24230408 26337400 30288010 32921750 60576020 65843500 75720025 96526571 121152040 131687000 151440050 193053142 302880100 378600125 386106284 482632855 605760200 757200250 772212568 965265710 1514400500 1930531420 2220111133 2413164275 3028801000 3861062840 4440222266 4826328550 8880444532 9652657100 11100555665 12065821375 17760889064 19305314200 22201111330 24131642750 44402222660 48263285500 55502778325 88804445320 96526571000 111005556650 222011113300 277513891625 444022226600 555027783250 1110055566500 2220111133000