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212541520 = 2454756527
BaseRepresentation
bin11001010101100…
…10000001010000
3112210221020011011
430222302001100
5413402312040
633031300304
75160400402
oct1452620120
9483836134
10212541520
11a9a79654
125b21a694
1335058919
1420328b72
15139d53ea
hexcab2050

212541520 has 40 divisors (see below), whose sum is σ = 504681984. Its totient is φ = 83206272.

The previous prime is 212541517. The next prime is 212541533. The reversal of 212541520 is 25145212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 212541491 and 212541500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24504 + ... + 32023.

Almost surely, 2212541520 is an apocalyptic number.

212541520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212541520 is an abundant number, since it is smaller than the sum of its proper divisors (292140464).

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

212541520 is a wasteful number, since it uses less digits than its factorization.

212541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56587 (or 56581 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 212541520 is about 14578.8037918068. The cubic root of 212541520 is about 596.7804588618.

Adding to 212541520 its reverse (25145212), we get a palindrome (237686732).

The spelling of 212541520 in words is "two hundred twelve million, five hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 56527 113054 226108 282635 452216 565270 904432 1130540 2261080 2656769 4522160 5313538 10627076 13283845 21254152 26567690 42508304 53135380 106270760 212541520