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12221980 = 22517103349
BaseRepresentation
bin101110100111…
…111000011100
3211222221101221
4232213320130
511112100410
61113543124
7205612411
oct56477034
924887357
1012221980
116998611
124114aa4
1326bc054
1418a2108
1511164da
hexba7e1c

12221980 has 48 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 4543488.

The previous prime is 12221971. The next prime is 12221981. The reversal of 12221980 is 8912221.

12221980 = T390 + T391 + ... + T509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221981) 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, 34846 + ... + 35194.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 212221980 is an apocalyptic number.

12221980 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 12221980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

12221980 is an abundant number, since it is smaller than the sum of its proper divisors (15296420).

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

12221980 is a wasteful number, since it uses less digits than its factorization.

12221980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12221980 is about 3495.9948512548. The cubic root of 12221980 is about 230.3459193012.

The spelling of 12221980 in words is "twelve million, two hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 349 412 515 698 1030 1396 1745 1751 2060 3490 3502 5933 6980 7004 8755 11866 17510 23732 29665 35020 35947 59330 71894 118660 143788 179735 359470 611099 718940 1222198 2444396 3055495 6110990 12221980