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13422825 = 3252132353
BaseRepresentation
bin110011001101…
…000011101001
3221020221122200
4303031003221
511414012300
61155410413
7222043413
oct63150351
927227580
1013422825
117638849
1245b3a09
132a1c800
141ad59b3
1512a2200
hexccd0e9

13422825 has 54 divisors (see below), whose sum is σ = 26107146. Its totient is φ = 6589440.

The previous prime is 13422821. The next prime is 13422859. The reversal of 13422825 is 52822431.

13422825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 9162729 + 4260096 = 3027^2 + 2064^2 .

It is not a de Polignac number, because 13422825 - 22 = 13422821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13422821) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 37849 + ... + 38201.

Almost surely, 213422825 is an apocalyptic number.

13422825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13422825 is a deficient number, since it is larger than the sum of its proper divisors (12684321).

13422825 is a wasteful number, since it uses less digits than its factorization.

13422825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 13422825 is about 3663.7173744709. The cubic root of 13422825 is about 237.6555582930.

The spelling of 13422825 in words is "thirteen million, four hundred twenty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 353 507 585 845 975 1059 1521 1765 2535 2925 3177 4225 4589 5295 7605 8825 12675 13767 15885 22945 26475 38025 41301 59657 68835 79425 114725 178971 206505 298285 344175 536913 894855 1032525 1491425 2684565 4474275 13422825