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14092200 = 2332527829
BaseRepresentation
bin110101110000…
…011110101000
3222111221212100
4311300132220
512101422300
61222013400
7230532063
oct65603650
928457770
1014092200
117a55751
124877260
132bc53a5
141c2b8da
151385700
hexd707a8

14092200 has 72 divisors (see below), whose sum is σ = 47332350. Its totient is φ = 3757440.

The previous prime is 14092193. The next prime is 14092207. The reversal of 14092200 is 229041.

14092200 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 an interprime number because it is at equal distance from previous prime (14092193) and next prime (14092207).

It can be written as a sum of positive squares in 3 ways, for example, as 7650756 + 6441444 = 2766^2 + 2538^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14092207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2115 + ... + 5714.

Almost surely, 214092200 is an apocalyptic number.

14092200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14092200 is an abundant number, since it is smaller than the sum of its proper divisors (33240150).

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

14092200 is a wasteful number, since it uses less digits than its factorization.

14092200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14092200 is about 3753.9579113251. The cubic root of 14092200 is about 241.5421527953.

The spelling of 14092200 in words is "fourteen million, ninety-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 7829 15658 23487 31316 39145 46974 62632 70461 78290 93948 117435 140922 156580 187896 195725 234870 281844 313160 352305 391450 469740 563688 587175 704610 782900 939480 1174350 1409220 1565800 1761525 2348700 2818440 3523050 4697400 7046100 14092200