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2112422220 = 2233510093877
BaseRepresentation
bin111110111101001…
…0000000101001100
312110012220011112000
41331322100011030
513311240002340
6545340312300
7103230202236
oct17572200514
95405804460
102112422220
11994453097
124ab542690
1327884a09c
141607a1256
15c56bcd30
hex7de9014c

2112422220 has 96 divisors (see below), whose sum is σ = 6580190400. Its totient is φ = 562609152.

The previous prime is 2112422197. The next prime is 2112422239. The reversal of 2112422220 is 222242112.

2112422220 is a `hidden beast` number, since 21 + 1 + 2 + 422 + 220 = 666.

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 = 2112422193 and 2112422202.

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, 542922 + ... + 546798.

It is an arithmetic number, because the mean of its divisors is an integer number (68543650).

Almost surely, 22112422220 is an apocalyptic number.

2112422220 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 2112422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290095200).

2112422220 is an abundant number, since it is smaller than the sum of its proper divisors (4467768180).

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

2112422220 is a wasteful number, since it uses less digits than its factorization.

2112422220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4896 counting only the distinct ones).

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

The square root of 2112422220 is about 45961.0946344841. The cubic root of 2112422220 is about 1283.0992241011.

Adding to 2112422220 its reverse (222242112), we get a palindrome (2334664332).

The spelling of 2112422220 in words is "two billion, one hundred twelve million, four hundred twenty-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 1009 2018 3027 3877 4036 5045 6054 7754 9081 10090 11631 12108 15135 15508 18162 19385 20180 23262 27243 30270 34893 36324 38770 45405 46524 54486 58155 60540 69786 77540 90810 104679 108972 116310 136215 139572 174465 181620 209358 232620 272430 348930 418716 523395 544860 697860 1046790 2093580 3911893 7823786 11735679 15647572 19559465 23471358 35207037 39118930 46942716 58678395 70414074 78237860 105621111 117356790 140828148 176035185 211242222 234713580 352070370 422484444 528105555 704140740 1056211110 2112422220