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219271404 = 2231110116447
BaseRepresentation
bin11010001000111…
…01000011101100
3120021121010211010
431010131003230
5422113141104
633431425220
75301530142
oct1504350354
9507533733
10219271404
11102855940
1261525210
1336573bc1
142119b592
15143b4489
hexd11d0ec

219271404 has 48 divisors (see below), whose sum is σ = 563705856. Its totient is φ = 65784000.

The previous prime is 219271399. The next prime is 219271417. The reversal of 219271404 is 404172912.

It is a super-2 number, since 2×2192714042 = 96159897224262432, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5109 + ... + 21555.

It is an arithmetic number, because the mean of its divisors is an integer number (11743872).

Almost surely, 2219271404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219271404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281852928).

219271404 is an abundant number, since it is smaller than the sum of its proper divisors (344434452).

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

219271404 is a wasteful number, since it uses less digits than its factorization.

219271404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16566 (or 16564 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 219271404 is about 14807.8156390468. The cubic root of 219271404 is about 603.0139129760.

The spelling of 219271404 in words is "two hundred nineteen million, two hundred seventy-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 16447 32894 49341 65788 98682 180917 197364 361834 542751 723668 1085502 1661147 2171004 3322294 4983441 6644588 9966882 18272617 19933764 36545234 54817851 73090468 109635702 219271404