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212177540 = 22510608877
BaseRepresentation
bin11001010010110…
…01001010000100
3112210020201212102
430221121022010
5413304140130
633015411232
75154323261
oct1451311204
9483221772
10212177540
11a9850143
125b083b18
1334c5c053
1420272268
1513962645
hexca59284

212177540 has 12 divisors (see below), whose sum is σ = 445572876. Its totient is φ = 84871008.

The previous prime is 212177533. The next prime is 212177549. The reversal of 212177540 is 45771212.

It can be written as a sum of positive squares in 2 ways, for example, as 154902916 + 57274624 = 12446^2 + 7568^2 .

It is not an unprimeable number, because it can be changed into a prime (212177549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5304419 + ... + 5304458.

It is an arithmetic number, because the mean of its divisors is an integer number (37131073).

Almost surely, 2212177540 is an apocalyptic number.

212177540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212177540 is an abundant number, since it is smaller than the sum of its proper divisors (233395336).

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

212177540 is a wasteful number, since it uses less digits than its factorization.

212177540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10608886 (or 10608884 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 212177540 is about 14566.3152512912. The cubic root of 212177540 is about 596.4395995564.

The spelling of 212177540 in words is "two hundred twelve million, one hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 10608877 21217754 42435508 53044385 106088770 212177540