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219430000 = 245421943
BaseRepresentation
bin11010001010000…
…11110001110000
3120021220012101001
431011003301300
5422133230000
633435051344
75303060416
oct1505036160
9507805331
10219430000
11102954009
12615a0b54
13365cb14a
14211dd2b6
15143e646a
hexd143c70

219430000 has 50 divisors (see below), whose sum is σ = 531286184. Its totient is φ = 87768000.

The previous prime is 219429967. The next prime is 219430019. The reversal of 219430000 is 34912.

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 219430000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 972 + ... + 20971.

Almost surely, 2219430000 is an apocalyptic number.

219430000 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 219430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265643092).

219430000 is an abundant number, since it is smaller than the sum of its proper divisors (311856184).

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

219430000 is an equidigital number, since it uses as much as digits as its factorization.

219430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21971 (or 21950 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 219430000 is about 14813.1698160792. The cubic root of 219430000 is about 603.1592618370.

Adding to 219430000 its reverse (34912), we get a palindrome (219464912).

The spelling of 219430000 in words is "two hundred nineteen million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21943 43886 87772 109715 175544 219430 351088 438860 548575 877720 1097150 1755440 2194300 2742875 4388600 5485750 8777200 10971500 13714375 21943000 27428750 43886000 54857500 109715000 219430000