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21298200 = 23352711461
BaseRepresentation
bin101000100111…
…1110000011000
31111002001122020
41101033300120
520423020300
62040254440
7346013610
oct121176030
944061566
1021298200
1111027720
127171420
1345492b1
142b85a40
151d0a8a0
hex144fc18

21298200 has 192 divisors, whose sum is σ = 82494720. Its totient is φ = 4416000.

The previous prime is 21298187. The next prime is 21298217. The reversal of 21298200 is 289212.

It is a super-2 number, since 2×212982002 = 907226646480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45970 + ... + 46430.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 221298200 is an apocalyptic number.

21298200 is a gapful number since it is divisible by the number (20) 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 21298200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

21298200 is an abundant number, since it is smaller than the sum of its proper divisors (61196520).

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

21298200 is a wasteful number, since it uses less digits than its factorization.

21298200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 21298200 is about 4614.9972914402. The cubic root of 21298200 is about 277.1921755046.

The spelling of 21298200 in words is "twenty-one million, two hundred ninety-eight thousand, two hundred".