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212816352 = 2537316691
BaseRepresentation
bin11001010111101…
…01000111100000
3112211110012011010
430223311013200
5413440110402
633041220520
75162623560
oct1453650740
9484405133
10212816352
11aa147091
125b331740
1335123a48
142039ada0
1513a3ba6c
hexcaf51e0

212816352 has 48 divisors (see below), whose sum is σ = 638451072. Its totient is φ = 60804480.

The previous prime is 212816339. The next prime is 212816381. The reversal of 212816352 is 253618212.

212816352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 157674 + ... + 159017.

It is an arithmetic number, because the mean of its divisors is an integer number (13301064).

Almost surely, 2212816352 is an apocalyptic number.

It is an amenable number.

212816352 is an abundant number, since it is smaller than the sum of its proper divisors (425634720).

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

212816352 is a wasteful number, since it uses less digits than its factorization.

212816352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316711 (or 316703 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 212816352 is about 14588.2264857658. The cubic root of 212816352 is about 597.0375752494.

The spelling of 212816352 in words is "two hundred twelve million, eight hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 316691 633382 950073 1266764 1900146 2216837 2533528 3800292 4433674 5067056 6650511 7600584 8867348 10134112 13301022 15201168 17734696 26602044 30402336 35469392 53204088 70938784 106408176 212816352