Search a number
-
+
216243020 = 225741101373
BaseRepresentation
bin11001110001110…
…01101101001100
3120001220021122202
430320321231030
5420324234040
633242501032
75234015060
oct1470715514
9501807582
10216243020
11101077644
1260504778
1335a53666
1420a0daa0
1513eb7015
hexce39b4c

216243020 has 96 divisors (see below), whose sum is σ = 538344576. Its totient is φ = 71424000.

The previous prime is 216243019. The next prime is 216243031. The reversal of 216243020 is 20342612.

It is a super-2 number, since 2×2162430202 = 93522087397440800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 216242983 and 216243001.

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, 579554 + ... + 579926.

It is an arithmetic number, because the mean of its divisors is an integer number (5607756).

Almost surely, 2216243020 is an apocalyptic number.

216243020 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 216243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269172288).

216243020 is an abundant number, since it is smaller than the sum of its proper divisors (322101556).

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

216243020 is a wasteful number, since it uses less digits than its factorization.

216243020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 216243020 is about 14705.2038408177. The cubic root of 216243020 is about 600.2249341823.

Adding to 216243020 its reverse (20342612), we get a palindrome (236585632).

The spelling of 216243020 in words is "two hundred sixteen million, two hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 101 140 164 202 205 287 373 404 410 505 574 707 746 820 1010 1148 1414 1435 1492 1865 2020 2611 2828 2870 3535 3730 4141 5222 5740 7070 7460 8282 10444 13055 14140 15293 16564 20705 26110 28987 30586 37673 41410 52220 57974 61172 75346 76465 82820 107051 115948 144935 150692 152930 188365 214102 263711 289870 305860 376730 428204 527422 535255 579740 753460 1054844 1070510 1318555 1544593 2141020 2637110 3089186 5274220 6178372 7722965 10812151 15445930 21624302 30891860 43248604 54060755 108121510 216243020