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212032140 = 22354382183
BaseRepresentation
bin11001010001101…
…01101010001100
3112202222100102020
430220311222030
5413240012030
633012330140
75153146335
oct1450655214
9482870366
10212032140
11a9760981
125b013950
1334c0ab08
142023528c
1513934510
hexca35a8c

212032140 has 48 divisors (see below), whose sum is σ = 607504128. Its totient is φ = 55226304.

The previous prime is 212032133. The next prime is 212032151. The reversal of 212032140 is 41230212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38512 + ... + 43671.

It is an arithmetic number, because the mean of its divisors is an integer number (12656336).

Almost surely, 2212032140 is an apocalyptic number.

212032140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212032140 is an abundant number, since it is smaller than the sum of its proper divisors (395471988).

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

212032140 is a wasteful number, since it uses less digits than its factorization.

212032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82238 (or 82236 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212032140 is about 14561.3234288646. The cubic root of 212032140 is about 596.3033266740.

Adding to 212032140 its reverse (41230212), we get a palindrome (253262352).

The spelling of 212032140 in words is "two hundred twelve million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 82183 164366 246549 328732 410915 493098 821830 986196 1232745 1643660 2465490 3533869 4930980 7067738 10601607 14135476 17669345 21203214 35338690 42406428 53008035 70677380 106016070 212032140