Search a number
-
+
12225980 = 2251359797
BaseRepresentation
bin101110101000…
…110110111100
3212000010220002
4232220312330
511112212410
61114013432
7205630154
oct56506674
925003802
1012225980
1169a0618
124117278
1326c0b10
1418a3764
1511177a5
hexba8dbc

12225980 has 48 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 4432128.

The previous prime is 12225937. The next prime is 12225989. The reversal of 12225980 is 8952221.

It is a super-3 number, since 3×122259803 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225989) 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, 14942 + ... + 15738.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 212225980 is an apocalyptic number.

12225980 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 12225980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

12225980 is an abundant number, since it is smaller than the sum of its proper divisors (15927460).

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

12225980 is a wasteful number, since it uses less digits than its factorization.

12225980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 12225980 is about 3496.5668876771. The cubic root of 12225980 is about 230.3710457040.

The spelling of 12225980 in words is "twelve million, two hundred twenty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 797 1180 1534 1594 3068 3188 3835 3985 7670 7970 10361 15340 15940 20722 41444 47023 51805 94046 103610 188092 207220 235115 470230 611299 940460 1222598 2445196 3056495 6112990 12225980