Search a number
-
+
218983380 = 2235711231139
BaseRepresentation
bin11010000110101…
…10101111010100
3120021001111201120
431003112233110
5422024432010
633421323540
75266220340
oct1503265724
9507044646
10218983380
11102679500
12614065b0
13364a2a85
1421124620
1514358e70
hexd0d6bd4

218983380 has 288 divisors, whose sum is σ = 800808960. Its totient is φ = 43718400.

The previous prime is 218983367. The next prime is 218983421. The reversal of 218983380 is 83389812.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1575351 + ... + 1575489.

Almost surely, 2218983380 is an apocalyptic number.

218983380 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 218983380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400404480).

218983380 is an abundant number, since it is smaller than the sum of its proper divisors (581825580).

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

218983380 is a wasteful number, since it uses less digits than its factorization.

218983380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 218983380 is about 14798.0870385331. The cubic root of 218983380 is about 602.7497676010.

The spelling of 218983380 in words is "two hundred eighteen million, nine hundred eighty-three thousand, three hundred eighty".