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212270160 = 24351752027
BaseRepresentation
bin11001010011011…
…11110001010000
3112210102102220210
430221233301100
5413320121120
633021404120
75155160304
oct1451576120
9483372823
10212270160
11a9903793
125b109640
1334c9225b
1420297d04
151397ece0
hexca6fc50

212270160 has 80 divisors (see below), whose sum is σ = 696758976. Its totient is φ = 53274624.

The previous prime is 212270153. The next prime is 212270167. The reversal of 212270160 is 61072212.

212270160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212270153) and next prime (212270167).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212270167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21934 + ... + 30093.

Almost surely, 2212270160 is an apocalyptic number.

212270160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212270160 is an abundant number, since it is smaller than the sum of its proper divisors (484488816).

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

212270160 is a wasteful number, since it uses less digits than its factorization.

212270160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52060 (or 52054 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 212270160 is about 14569.4941573138. The cubic root of 212270160 is about 596.5263731133.

The spelling of 212270160 in words is "two hundred twelve million, two hundred seventy thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 52027 104054 156081 208108 260135 312162 416216 520270 624324 780405 832432 884459 1040540 1248648 1560810 1768918 2081080 2497296 2653377 3121620 3537836 4162160 4422295 5306754 6243240 7075672 8844590 10613508 12486480 13266885 14151344 17689180 21227016 26533770 35378360 42454032 53067540 70756720 106135080 212270160