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215118820 = 22572227967
BaseRepresentation
bin11001101001001…
…11001111100100
3112222210011112201
430310213033210
5420032300240
633202424244
75221323400
oct1464471744
9488704481
10215118820
11100479a54
1260062084
133574ba57
14207da100
1513d43d9a
hexcd273e4

215118820 has 72 divisors (see below), whose sum is σ = 528365376. Its totient is φ = 73354176.

The previous prime is 215118767. The next prime is 215118821. The reversal of 215118820 is 28811512.

It is a super-2 number, since 2×2151188202 = 92552213436384800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (215118821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221977 + ... + 222943.

It is an arithmetic number, because the mean of its divisors is an integer number (7338408).

Almost surely, 2215118820 is an apocalyptic number.

215118820 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 215118820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264182688).

215118820 is an abundant number, since it is smaller than the sum of its proper divisors (313246556).

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

215118820 is a wasteful number, since it uses less digits than its factorization.

215118820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 215118820 is about 14666.9294673425. The cubic root of 215118820 is about 599.1829805630.

The spelling of 215118820 in words is "two hundred fifteen million, one hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 227 245 454 490 908 967 980 1135 1589 1934 2270 3178 3868 4540 4835 6356 6769 7945 9670 11123 13538 15890 19340 22246 27076 31780 33845 44492 47383 55615 67690 94766 111230 135380 189532 219509 222460 236915 439018 473830 878036 947660 1097545 1536563 2195090 3073126 4390180 6146252 7682815 10755941 15365630 21511882 30731260 43023764 53779705 107559410 215118820