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212261088 = 25313170081
BaseRepresentation
bin11001010011011…
…01100011100000
3112210101222110210
430221231203200
5413314323323
633021254120
75155121664
oct1451554340
9483358423
10212261088
11a98a7996
125b104340
1334c8b0a0
14202948a4
151397c293
hexca6d8e0

212261088 has 48 divisors (see below), whose sum is σ = 600049296. Its totient is φ = 65310720.

The previous prime is 212261083. The next prime is 212261111. The reversal of 212261088 is 880162212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212261083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83793 + ... + 86288.

It is an arithmetic number, because the mean of its divisors is an integer number (12501027).

Almost surely, 2212261088 is an apocalyptic number.

It is an amenable number.

212261088 is an abundant number, since it is smaller than the sum of its proper divisors (387788208).

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

212261088 is a wasteful number, since it uses less digits than its factorization.

212261088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170107 (or 170099 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 212261088 is about 14569.1828185386. The cubic root of 212261088 is about 596.5178748795.

The spelling of 212261088 in words is "two hundred twelve million, two hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 170081 340162 510243 680324 1020486 1360648 2040972 2211053 2721296 4081944 4422106 5442592 6633159 8163888 8844212 13266318 16327776 17688424 26532636 35376848 53065272 70753696 106130544 212261088