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212134340 = 225111019547
BaseRepresentation
bin11001010010011…
…10100111000100
3112210011112121102
430221032213010
5413301244330
633014435232
75154053315
oct1451164704
9483145542
10212134340
11a9820740
125b062b18
1334c454a2
142026060c
1513954945
hexca4e9c4

212134340 has 48 divisors (see below), whose sum is σ = 490843584. Its totient is φ = 76368000.

The previous prime is 212134327. The next prime is 212134361. The reversal of 212134340 is 43431212.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 17447 + ... + 26993.

It is an arithmetic number, because the mean of its divisors is an integer number (10225908).

Almost surely, 2212134340 is an apocalyptic number.

212134340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245421792).

212134340 is an abundant number, since it is smaller than the sum of its proper divisors (278709244).

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

212134340 is a wasteful number, since it uses less digits than its factorization.

212134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 212134340 is about 14564.8323025018. The cubic root of 212134340 is about 596.3991178296.

Adding to 212134340 its reverse (43431212), we get a palindrome (255565552).

The spelling of 212134340 in words is "two hundred twelve million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 9547 11110 19094 22220 38188 47735 95470 105017 190940 210034 420068 525085 964247 1050170 1928494 2100340 3856988 4821235 9642470 10606717 19284940 21213434 42426868 53033585 106067170 212134340