Search a number
-
+
219123390 = 23519220233
BaseRepresentation
bin11010000111110…
…00111010111110
3120021022121210010
431003320322332
5422043422030
633424324050
75300342463
oct1503707276
9507277703
10219123390
11102764712
1261473626
1336521715
142115d66a
15143856b0
hexd0f8ebe

219123390 has 48 divisors (see below), whose sum is σ = 555059088. Its totient is φ = 55354752.

The previous prime is 219123389. The next prime is 219123427. The reversal of 219123390 is 93321912.

It is a happy number.

219123390 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714 + ... + 20946.

It is an arithmetic number, because the mean of its divisors is an integer number (11563731).

Almost surely, 2219123390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219123390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277529544).

219123390 is an abundant number, since it is smaller than the sum of its proper divisors (335935698).

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

219123390 is a wasteful number, since it uses less digits than its factorization.

219123390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20281 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 219123390 is about 14802.8169616462. The cubic root of 219123390 is about 602.8781989852.

The spelling of 219123390 in words is "two hundred nineteen million, one hundred twenty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3610 5415 10830 20233 40466 60699 101165 121398 202330 303495 384427 606990 768854 1153281 1922135 2306562 3844270 5766405 7304113 11532810 14608226 21912339 36520565 43824678 73041130 109561695 219123390