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13852200 = 2335223087
BaseRepresentation
bin110100110101…
…111000101000
3222001202122110
4310311320220
512021232300
61212522320
7225512265
oct64657050
928052573
1013852200
1179013aa
1247803a0
132b4008b
141ba826c
151339550
hexd35e28

13852200 has 48 divisors (see below), whose sum is σ = 42943680. Its totient is φ = 3693760.

The previous prime is 13852177. The next prime is 13852217. The reversal of 13852200 is 225831.

13852200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10944 + ... + 12143.

It is an arithmetic number, because the mean of its divisors is an integer number (894660).

Almost surely, 213852200 is an apocalyptic number.

13852200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13852200 is an abundant number, since it is smaller than the sum of its proper divisors (29091480).

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

13852200 is a wasteful number, since it uses less digits than its factorization.

13852200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23106 (or 23097 counting only the distinct ones).

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

The square root of 13852200 is about 3721.8543765172. The cubic root of 13852200 is about 240.1630836016.

The spelling of 13852200 in words is "thirteen million, eight hundred fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 23087 46174 69261 92348 115435 138522 184696 230870 277044 346305 461740 554088 577175 692610 923480 1154350 1385220 1731525 2308700 2770440 3463050 4617400 6926100 13852200