Search a number
-
+
212472128 = 2611227437
BaseRepresentation
bin11001010101000…
…01000101000000
3112210210200222002
430222201011000
5413343102003
633030003132
75156661161
oct1452410500
9483720862
10212472128
11a9a31500
125b1a64a8
133503316b
142030b768
15139bea88
hexcaa1140

212472128 has 42 divisors (see below), whose sum is σ = 463455258. Its totient is φ = 96574720.

The previous prime is 212472119. The next prime is 212472133. The reversal of 212472128 is 821274212.

It can be written as a sum of positive squares in only one way, i.e., 183656704 + 28815424 = 13552^2 + 5368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212472128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5975 + ... + 21462.

It is an arithmetic number, because the mean of its divisors is an integer number (11034649).

Almost surely, 2212472128 is an apocalyptic number.

It is an amenable number.

212472128 is an abundant number, since it is smaller than the sum of its proper divisors (250983130).

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

212472128 is a wasteful number, since it uses less digits than its factorization.

212472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27471 (or 27450 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 212472128 is about 14576.4237040503. The cubic root of 212472128 is about 596.7155048123.

The spelling of 212472128 in words is "two hundred twelve million, four hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 27437 54874 109748 219496 301807 438992 603614 877984 1207228 1755968 2414456 3319877 4828912 6639754 9657824 13279508 19315648 26559016 53118032 106236064 212472128