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212449392 = 2434163927
BaseRepresentation
bin11001010100110…
…11100001110000
3112210202112210000
430222123201300
5413341340032
633025310000
75156534661
oct1452334160
9483675700
10212449392
11a9a16411
125b195300
13350259cc
1420303368
15139b7e7c
hexca9b870

212449392 has 50 divisors (see below), whose sum is σ = 614893928. Its totient is φ = 70816032.

The previous prime is 212449361. The next prime is 212449403. The reversal of 212449392 is 293944212.

212449392 is a `hidden beast` number, since 21 + 244 + 9 + 392 = 666.

212449392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124493922 = 90269488322339328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 80668 + ... + 83259.

Almost surely, 2212449392 is an apocalyptic number.

It is an amenable number.

212449392 is an abundant number, since it is smaller than the sum of its proper divisors (402444536).

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

212449392 is a wasteful number, since it uses less digits than its factorization.

212449392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163947 (or 163932 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 212449392 is about 14575.6437936717. The cubic root of 212449392 is about 596.6942198124.

The spelling of 212449392 in words is "two hundred twelve million, four hundred forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 163927 327854 491781 655708 983562 1311416 1475343 1967124 2622832 2950686 3934248 4426029 5901372 7868496 8852058 11802744 13278087 17704116 23605488 26556174 35408232 53112348 70816464 106224696 212449392