Search a number
-
+
218804740 = 225711473023
BaseRepresentation
bin11010000101010…
…11001000000100
3120020201102200021
431002223020010
5422003222430
633413424524
75264544460
oct1502531004
9506642607
10218804740
11102567270
126133b144
133643c67b
14210b94a0
151432107a
hexd0ab204

218804740 has 96 divisors (see below), whose sum is σ = 585252864. Its totient is φ = 66725760.

The previous prime is 218804737. The next prime is 218804801. The reversal of 218804740 is 47408812.

It is a junction number, because it is equal to n+sod(n) for n = 218804696 and 218804705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70869 + ... + 73891.

It is an arithmetic number, because the mean of its divisors is an integer number (6096384).

Almost surely, 2218804740 is an apocalyptic number.

218804740 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 218804740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432).

218804740 is an abundant number, since it is smaller than the sum of its proper divisors (366448124).

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

218804740 is a wasteful number, since it uses less digits than its factorization.

218804740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 218804740 is about 14792.0498917493. The cubic root of 218804740 is about 602.5858213521.

The spelling of 218804740 in words is "two hundred eighteen million, eight hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 770 940 1034 1316 1540 1645 2068 2585 3023 3290 3619 5170 6046 6580 7238 10340 12092 14476 15115 18095 21161 30230 33253 36190 42322 60460 66506 72380 84644 105805 133012 142081 166265 211610 232771 284162 332530 423220 465542 568324 665060 710405 931084 994567 1163855 1420810 1562891 1989134 2327710 2841620 3125782 3978268 4655420 4972835 6251564 7814455 9945670 10940237 15628910 19891340 21880474 31257820 43760948 54701185 109402370 218804740