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1122132220 = 2251121014591
BaseRepresentation
bin100001011100010…
…0110000011111100
32220012111020000121
41002320212003330
54244231212340
6303203104324
736543652336
oct10270460374
92805436017
101122132220
11526461600
122739720a4
1314b62c781
14a9060456
15687a894a
hex42e260fc

1122132220 has 72 divisors (see below), whose sum is σ = 2616393024. Its totient is φ = 403920000.

The previous prime is 1122132217. The next prime is 1122132233. The reversal of 1122132220 is 222312211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1122132194 and 1122132203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242125 + ... + 246715.

It is an arithmetic number, because the mean of its divisors is an integer number (36338792).

Almost surely, 21122132220 is an apocalyptic number.

1122132220 is a gapful number since it is divisible by the number (10) 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 1122132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308196512).

1122132220 is an abundant number, since it is smaller than the sum of its proper divisors (1494260804).

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

1122132220 is a wasteful number, since it uses less digits than its factorization.

1122132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1122132220 is about 33498.2420434267. The cubic root of 1122132220 is about 1039.1574228294.

Adding to 1122132220 its reverse (222312211), we get a palindrome (1344444431).

Subtracting from 1122132220 its reverse (222312211), we obtain a square (899820009 = 299972).

The spelling of 1122132220 in words is "one billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 4591 5555 9182 11110 12221 18364 22220 22955 24442 45910 48884 50501 61105 91820 101002 122210 202004 244420 252505 463691 505010 555511 927382 1010020 1111022 1854764 2222044 2318455 2777555 4636910 5100601 5555110 9273820 10201202 11110220 20402404 25503005 51006010 56106611 102012020 112213222 224426444 280533055 561066110 1122132220