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221420000 = 255411071
BaseRepresentation
bin11010011001010…
…01100111100000
3120102122022010202
431030221213200
5423140420000
633545444332
75326016234
oct1514514740
9512568122
10221420000
11103a9313a
12621a06a8
1336b46b69
142159a5c4
151468add5
hexd3299e0

221420000 has 60 divisors (see below), whose sum is σ = 544775616. Its totient is φ = 88560000.

The previous prime is 221419987. The next prime is 221420009. The reversal of 221420000 is 24122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221420009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14465 + ... + 25535.

Almost surely, 2221420000 is an apocalyptic number.

221420000 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 221420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272387808).

221420000 is an abundant number, since it is smaller than the sum of its proper divisors (323355616).

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

221420000 is an equidigital number, since it uses as much as digits as its factorization.

221420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 221420000 is about 14880.1881708532. The cubic root of 221420000 is about 604.9771181838.

Adding to 221420000 its reverse (24122), we get a palindrome (221444122).

The spelling of 221420000 in words is "two hundred twenty-one million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 11071 20000 22142 44284 55355 88568 110710 177136 221420 276775 354272 442840 553550 885680 1107100 1383875 1771360 2214200 2767750 4428400 5535500 6919375 8856800 11071000 13838750 22142000 27677500 44284000 55355000 110710000 221420000