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13222770 = 23511172357
BaseRepresentation
bin110010011100…
…001101110010
3220212210020020
4302130031302
511341112040
61151224310
7220251231
oct62341562
926783206
1013222770
117511510
124518096
13297c732
141a82b18
151262cd0
hexc9c372

13222770 has 64 divisors (see below), whose sum is σ = 36671616. Its totient is φ = 3015680.

The previous prime is 13222763. The next prime is 13222777. The reversal of 13222770 is 7722231.

13222770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13222763) and next prime (13222777).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13222770.

It is not an unprimeable number, because it can be changed into a prime (13222777) 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, 4432 + ... + 6788.

It is an arithmetic number, because the mean of its divisors is an integer number (572994).

Almost surely, 213222770 is an apocalyptic number.

13222770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335808).

13222770 is an abundant number, since it is smaller than the sum of its proper divisors (23448846).

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

13222770 is a wasteful number, since it uses less digits than its factorization.

13222770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13222770 is about 3636.3126928250. The cubic root of 13222770 is about 236.4689635920.

The spelling of 13222770 in words is "thirteen million, two hundred twenty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2357 2805 4714 5610 7071 11785 14142 23570 25927 35355 40069 51854 70710 77781 80138 120207 129635 155562 200345 240414 259270 388905 400690 440759 601035 777810 881518 1202070 1322277 2203795 2644554 4407590 6611385 13222770