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13220025 = 3527132149
BaseRepresentation
bin110010011011…
…100010111001
3220212122110120
4302123202321
511341020100
61151203453
7220240230
oct62334271
926778416
1013220025
11750a445
124516589
13297b400
141a81b17
1512620a0
hexc9b8b9

13220025 has 72 divisors (see below), whose sum is σ = 27230400. Its totient is φ = 5541120.

The previous prime is 13220023. The next prime is 13220041. The reversal of 13220025 is 52002231.

It is not a de Polignac number, because 13220025 - 21 = 13220023 is a prime.

It is a super-2 number, since 2×132200252 = 349538122001250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 13219986 and 13220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88651 + ... + 88799.

It is an arithmetic number, because the mean of its divisors is an integer number (378200).

Almost surely, 213220025 is an apocalyptic number.

13220025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13220025 is an abundant number, since it is smaller than the sum of its proper divisors (14010375).

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

13220025 is a wasteful number, since it uses less digits than its factorization.

13220025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13220025 is about 3635.9352304462. The cubic root of 13220025 is about 236.4525990877.

Adding to 13220025 its reverse (52002231), we get a palindrome (65222256).

The spelling of 13220025 in words is "thirteen million, two hundred twenty thousand, twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 149 169 175 195 273 325 447 455 507 525 745 845 975 1043 1183 1365 1937 2235 2275 2535 3129 3549 3725 4225 5215 5811 5915 6825 9685 11175 12675 13559 15645 17745 25181 26075 29055 29575 40677 48425 67795 75543 78225 88725 125905 145275 176267 203385 338975 377715 528801 629525 881335 1016925 1888575 2644005 4406675 13220025