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4221980 = 225753569
BaseRepresentation
bin10000000110110000011100
321221111110122
4100012300130
52040100410
6230254112
750612660
oct20066034
97844418
104221980
112424044
1214b7338
13b4a919
147bc8a0
15585e55
hex406c1c

4221980 has 48 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1417728.

The previous prime is 4221977. The next prime is 4221989. The reversal of 4221980 is 891224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7136 + ... + 7704.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 24221980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

4221980 is an abundant number, since it is smaller than the sum of its proper divisors (6120100).

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

4221980 is a wasteful number, since it uses less digits than its factorization.

4221980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4221980 is about 2054.7457263613. The cubic root of 4221980 is about 161.6238287085.

It can be divided in two parts, 42 and 21980, that added together give a palindrome (22022).

The spelling of 4221980 in words is "four million, two hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 569 742 1060 1138 1484 1855 2276 2845 3710 3983 5690 7420 7966 11380 15932 19915 30157 39830 60314 79660 120628 150785 211099 301570 422198 603140 844396 1055495 2110990 4221980