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13225080 = 23351143233
BaseRepresentation
bin110010011100…
…110001111000
3220212220101210
4302130301320
511341200310
61151243120
7220261041
oct62346170
926786353
1013225080
117513220
1245194a0
1329807bb
141a838c8
151263820
hexc9cc78

13225080 has 128 divisors (see below), whose sum is σ = 44478720. Its totient is φ = 3118080.

The previous prime is 13225067. The next prime is 13225081. The reversal of 13225080 is 8052231.

13225080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13225081) 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, 56644 + ... + 56876.

It is an arithmetic number, because the mean of its divisors is an integer number (347490).

Almost surely, 213225080 is an apocalyptic number.

13225080 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 13225080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239360).

13225080 is an abundant number, since it is smaller than the sum of its proper divisors (31253640).

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

13225080 is a wasteful number, since it uses less digits than its factorization.

13225080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13225080 is about 3636.6303084036. The cubic root of 13225080 is about 236.4827330593.

The spelling of 13225080 in words is "thirteen million, two hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 233 258 264 330 344 430 440 466 473 516 645 660 699 860 932 946 1032 1165 1290 1320 1398 1419 1720 1864 1892 2330 2365 2563 2580 2796 2838 3495 3784 4660 4730 5126 5160 5592 5676 6990 7095 7689 9320 9460 10019 10252 11352 12815 13980 14190 15378 18920 20038 20504 25630 27960 28380 30057 30756 38445 40076 50095 51260 56760 60114 61512 76890 80152 100190 102520 110209 120228 150285 153780 200380 220418 240456 300570 307560 330627 400760 440836 551045 601140 661254 881672 1102090 1202280 1322508 1653135 2204180 2645016 3306270 4408360 6612540 13225080