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212521520 = 2455350123
BaseRepresentation
bin11001010101011…
…01001000110000
3112210220012201102
430222231020300
5413401142040
633031023532
75160255161
oct1452551060
9483805642
10212521520
11a9a65622
125b20aba8
133504c7a3
1420321768
15139ce515
hexcaad230

212521520 has 40 divisors (see below), whose sum is σ = 503445456. Its totient is φ = 83403008.

The previous prime is 212521513. The next prime is 212521549. The reversal of 212521520 is 25125212.

It is a happy number.

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

It is a super-2 number, since 2×2125215202 = 90330792926220800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212521492 and 212521501.

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, 20822 + ... + 29301.

Almost surely, 2212521520 is an apocalyptic number.

212521520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212521520 is an abundant number, since it is smaller than the sum of its proper divisors (290923936).

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

212521520 is a wasteful number, since it uses less digits than its factorization.

212521520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50189 (or 50183 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 212521520 is about 14578.1178483369. The cubic root of 212521520 is about 596.7617394079.

Adding to 212521520 its reverse (25125212), we get a palindrome (237646732).

The spelling of 212521520 in words is "two hundred twelve million, five hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 50123 100246 200492 250615 400984 501230 801968 1002460 2004920 2656519 4009840 5313038 10626076 13282595 21252152 26565190 42504304 53130380 106260760 212521520