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13222980 = 2233547521
BaseRepresentation
bin110010011100…
…010001000100
3220212210112000
4302130101010
511341113410
61151225300
7220251651
oct62342104
926783460
1013222980
117511691
124518230
13297c864
141a82c28
151262dc0
hexc9c444

13222980 has 96 divisors (see below), whose sum is σ = 42094080. Its totient is φ = 3444480.

The previous prime is 13222967. The next prime is 13222981. The reversal of 13222980 is 8922231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13222981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25120 + ... + 25640.

It is an arithmetic number, because the mean of its divisors is an integer number (438480).

Almost surely, 213222980 is an apocalyptic number.

13222980 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 13222980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047040).

13222980 is an abundant number, since it is smaller than the sum of its proper divisors (28871100).

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

13222980 is a wasteful number, since it uses less digits than its factorization.

13222980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13222980 is about 3636.3415681149. The cubic root of 13222980 is about 236.4702154280.

The spelling of 13222980 in words is "thirteen million, two hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 521 540 564 705 846 940 1042 1269 1410 1563 1692 2084 2115 2538 2605 2820 3126 4230 4689 5076 5210 6252 6345 7815 8460 9378 10420 12690 14067 15630 18756 23445 24487 25380 28134 31260 46890 48974 56268 70335 73461 93780 97948 122435 140670 146922 220383 244870 281340 293844 367305 440766 489740 661149 734610 881532 1101915 1322298 1469220 2203830 2644596 3305745 4407660 6611490 13222980