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14494200 = 23352721729
BaseRepresentation
bin110111010010…
…100111111000
31000021101022020
4313102213320
512202303300
61234354440
7234125100
oct67224770
930241266
1014494200
1181aa786
124a2ba20
133006366
141cd4200
1514148a0
hexdd29f8

14494200 has 288 divisors, whose sum is σ = 57250800. Its totient is φ = 3010560.

The previous prime is 14494187. The next prime is 14494201. The reversal of 14494200 is 249441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14494201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499786 + ... + 499814.

Almost surely, 214494200 is an apocalyptic number.

14494200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14494200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28625400).

14494200 is an abundant number, since it is smaller than the sum of its proper divisors (42756600).

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

14494200 is a wasteful number, since it uses less digits than its factorization.

14494200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14494200 is about 3807.1248994484. The cubic root of 14494200 is about 243.8174303912.

The spelling of 14494200 in words is "fourteen million, four hundred ninety-four thousand, two hundred".