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14224896 = 293473
BaseRepresentation
bin110110010000…
…111000000000
3222202200220000
4312100320000
512120144041
61224520000
7231624000
oct66207000
928680800
1014224896
118036414
124920000
132c408ca
141c64000
1513aebb6
hexd90e00

14224896 has 200 divisors, whose sum is σ = 49513200. Its totient is φ = 4064256.

The previous prime is 14224867. The next prime is 14224913. The reversal of 14224896 is 69842241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=168.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 14224896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2032125 + ... + 2032131.

It is an arithmetic number, because the mean of its divisors is an integer number (247566).

Almost surely, 214224896 is an apocalyptic number.

14224896 is a gapful number since it is divisible by the number (16) 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 14224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24756600).

14224896 is an abundant number, since it is smaller than the sum of its proper divisors (35288304).

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

14224896 is an frugal number, since it uses more digits than its factorization.

14224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 12 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14224896 is about 3771.5906458681. The cubic root of 14224896 is about 242.2979278116.

The spelling of 14224896 in words is "fourteen million, two hundred twenty-four thousand, eight hundred ninety-six".