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212504140 = 225107199499
BaseRepresentation
bin11001010101010…
…00111001001100
3112210212022212201
430222220321030
5413400113030
633030411244
75160153412
oct1452507114
9483768781
10212504140
11a9a53562
125b200b24
13350448c4
14203192b2
15139c92ca
hexcaa8e4c

212504140 has 48 divisors (see below), whose sum is σ = 453600000. Its totient is φ = 83616192.

The previous prime is 212504081. The next prime is 212504177. The reversal of 212504140 is 41405212.

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, 425611 + ... + 426109.

It is an arithmetic number, because the mean of its divisors is an integer number (9450000).

Almost surely, 2212504140 is an apocalyptic number.

212504140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212504140 is an abundant number, since it is smaller than the sum of its proper divisors (241095860).

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

212504140 is a wasteful number, since it uses less digits than its factorization.

212504140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 212504140 is about 14577.5217372501. The cubic root of 212504140 is about 596.7454712486.

Adding to 212504140 its reverse (41405212), we get a palindrome (253909352).

The spelling of 212504140 in words is "two hundred twelve million, five hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 107 199 214 398 428 499 535 796 995 998 1070 1990 1996 2140 2495 3980 4990 9980 21293 42586 53393 85172 99301 106465 106786 198602 212930 213572 266965 397204 425860 496505 533930 993010 1067860 1986020 10625207 21250414 42500828 53126035 106252070 212504140