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212470416 = 24321475489
BaseRepresentation
bin11001010101000…
…00101010010000
3112210210121121200
430222200222100
5413343023131
633025551200
75156653164
oct1452405220
9483717550
10212470416
11a9a30194
125b1a5500
1335032452
142030aca4
15139be2e6
hexcaa0a90

212470416 has 30 divisors (see below), whose sum is σ = 594622470. Its totient is φ = 70823424.

The previous prime is 212470361. The next prime is 212470417. The reversal of 212470416 is 614074212.

212470416 is a `hidden beast` number, since 2 + 1 + 247 + 0 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 198810000 + 13660416 = 14100^2 + 3696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212470416.

It is not an unprimeable number, because it can be changed into a prime (212470417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 737601 + ... + 737888.

It is an arithmetic number, because the mean of its divisors is an integer number (19820749).

Almost surely, 2212470416 is an apocalyptic number.

It is an amenable number.

212470416 is an abundant number, since it is smaller than the sum of its proper divisors (382152054).

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

212470416 is a wasteful number, since it uses less digits than its factorization.

212470416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475503 (or 1475494 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 212470416 is about 14576.3649789651. The cubic root of 212470416 is about 596.7139021241.

The spelling of 212470416 in words is "two hundred twelve million, four hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1475489 2950978 4426467 5901956 8852934 11803912 13279401 17705868 23607824 26558802 35411736 53117604 70823472 106235208 212470416