Search a number
-
+
218136828 = 223721328537
BaseRepresentation
bin11010000000010…
…00000011111100
3120012110111110210
431000020003330
5421320334303
633351232420
75256063300
oct1500100374
9505414423
10218136828
11102150478
1261078710
1336267660
1420d83d00
151423d203
hexd0080fc

218136828 has 72 divisors (see below), whose sum is σ = 637653072. Its totient is φ = 57528576.

The previous prime is 218136803. The next prime is 218136833. The reversal of 218136828 is 828631812.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6625 + ... + 21912.

Almost surely, 2218136828 is an apocalyptic number.

218136828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218136828 is an abundant number, since it is smaller than the sum of its proper divisors (419516244).

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

218136828 is a wasteful number, since it uses less digits than its factorization.

218136828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28571 (or 28562 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 218136828 is about 14769.4559141493. The cubic root of 218136828 is about 601.9720556706.

The spelling of 218136828 in words is "two hundred eighteen million, one hundred thirty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 28537 57074 85611 114148 171222 199759 342444 370981 399518 599277 741962 799036 1112943 1198554 1398313 1483924 2225886 2397108 2596867 2796626 4194939 4451772 5193734 5593252 7790601 8389878 10387468 15581202 16779756 18178069 31162404 36356138 54534207 72712276 109068414 218136828