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2202211220 = 2251121147441
BaseRepresentation
bin1000001101000011…
…0001001110010100
312200110211220212112
42003100301032110
514002231224340
61002305010152
7105400325606
oct20320611624
95613756775
102202211220
11a300aa980
12515623958
13291326c81
1416c695176
15cd507065
hex83431394

2202211220 has 48 divisors (see below), whose sum is σ = 5069082816. Its totient is φ = 796992000.

The previous prime is 2202211097. The next prime is 2202211241. The reversal of 2202211220 is 221122022.

It is a junction number, because it is equal to n+sod(n) for n = 2202211195 and 2202211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22700 + ... + 70140.

It is an arithmetic number, because the mean of its divisors is an integer number (105605892).

Almost surely, 22202211220 is an apocalyptic number.

2202211220 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 2202211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534541408).

2202211220 is an abundant number, since it is smaller than the sum of its proper divisors (2866871596).

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

2202211220 is a wasteful number, since it uses less digits than its factorization.

2202211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47672 (or 47670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2202211220 is about 46927.7233626350. The cubic root of 2202211220 is about 1301.0270424327.

Adding to 2202211220 its reverse (221122022), we get a palindrome (2423333242).

The spelling of 2202211220 in words is "two billion, two hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 4220 4642 9284 11605 23210 46420 47441 94882 189764 237205 474410 521851 948820 1043702 2087404 2609255 5218510 10010051 10437020 20020102 40040204 50050255 100100510 110110561 200201020 220221122 440442244 550552805 1101105610 2202211220