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112222202220 = 22335207818893
BaseRepresentation
bin110100010000011110…
…1101110100101101100
3101201122221212112202000
41220200331232211230
53314312340432340
6123315411132300
711051653660062
oct1504075564554
9351587775660
10112222202220
1143658564577
12198baba4090
13a775a0316b
1456083a0032
152dbc24cd30
hex1a20f6e96c

112222202220 has 48 divisors (see below), whose sum is σ = 349135741920. Its totient is φ = 29925920448.

The previous prime is 112222202201. The next prime is 112222202233. The reversal of 112222202220 is 22202222211.

112222202220 is a `hidden beast` number, since 1 + 1 + 222 + 220 + 2 + 220 = 666.

It is a super-2 number, since 2×1122222022202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112222202193 and 112222202202.

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 15 ways as a sum of consecutive naturals, for example, 103908907 + ... + 103909986.

It is an arithmetic number, because the mean of its divisors is an integer number (7273661290).

Almost surely, 2112222202220 is an apocalyptic number.

112222202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112222202220 is an abundant number, since it is smaller than the sum of its proper divisors (236913539700).

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

112222202220 is a wasteful number, since it uses less digits than its factorization.

112222202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207818911 (or 207818903 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 112222202220 its reverse (22202222211), we get a palindrome (134424424431).

The spelling of 112222202220 in words is "one hundred twelve billion, two hundred twenty-two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 207818893 415637786 623456679 831275572 1039094465 1246913358 1870370037 2078188930 2493826716 3117283395 3740740074 4156377860 5611110111 6234566790 7481480148 9351850185 11222220222 12469133580 18703700370 22444440444 28055550555 37407400740 56111101110 112222202220