Search a number
-
+
219036916 = 227531031433
BaseRepresentation
bin11010000111000…
…11110011110100
3120021011020011101
431003203303310
5422033140131
633422415444
75266532410
oct1503436364
9507136141
10219036916
1110270574a
1261431584
13364c1257
1421139d40
1514369c61
hexd0e3cf4

219036916 has 48 divisors (see below), whose sum is σ = 450987264. Its totient is φ = 91143936.

The previous prime is 219036899. The next prime is 219036931. The reversal of 219036916 is 619630912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152136 + ... + 153568.

It is an arithmetic number, because the mean of its divisors is an integer number (9395568).

Almost surely, 2219036916 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 219036916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225493632).

219036916 is an abundant number, since it is smaller than the sum of its proper divisors (231950348).

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

219036916 is a wasteful number, since it uses less digits than its factorization.

219036916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 219036916 is about 14799.8958104441. The cubic root of 219036916 is about 602.7988827169.

The spelling of 219036916 in words is "two hundred nineteen million, thirty-six thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 53 103 106 206 212 371 412 721 742 1433 1442 1484 2866 2884 5459 5732 10031 10918 20062 21836 38213 40124 75949 76426 147599 151898 152852 295198 303796 531643 590396 1033193 1063286 2066386 2126572 4132772 7822747 15645494 31290988 54759229 109518458 219036916