Search a number
-
+
214911180 = 2232511108541
BaseRepresentation
bin11001100111101…
…00100011001100
3112222101121201100
430303310203030
5420004124210
633154143100
75216500131
oct1463644314
9488347640
10214911180
11100347a50
125bb81a90
13356a83a3
1420784588
1513d025c0
hexccf48cc

214911180 has 72 divisors (see below), whose sum is σ = 711167184. Its totient is φ = 52099200.

The previous prime is 214911139. The next prime is 214911211. The reversal of 214911180 is 81119412.

214911180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 52291 + ... + 56250.

It is an arithmetic number, because the mean of its divisors is an integer number (9877322).

Almost surely, 2214911180 is an apocalyptic number.

214911180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214911180 is an abundant number, since it is smaller than the sum of its proper divisors (496256004).

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

214911180 is a wasteful number, since it uses less digits than its factorization.

214911180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108567 (or 108562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 214911180 is about 14659.8492488838. The cubic root of 214911180 is about 598.9901345733.

The spelling of 214911180 in words is "two hundred fourteen million, nine hundred eleven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 108541 217082 325623 434164 542705 651246 976869 1085410 1193951 1302492 1628115 1953738 2170820 2387902 3256230 3581853 3907476 4775804 4884345 5969755 6512460 7163706 9768690 10745559 11939510 14327412 17909265 19537380 21491118 23879020 35818530 42982236 53727795 71637060 107455590 214911180