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212923672 = 23136133563
BaseRepresentation
bin11001011000011…
…11010100011000
3112211122122100221
430230033110120
5414002024142
633043405424
75163551503
oct1454172430
9484578327
10212923672
11aa20a785
125b383874
1335160850
14203c813a
1513a5d767
hexcb0f518

212923672 has 32 divisors (see below), whose sum is σ = 437003280. Its totient is φ = 96658560.

The previous prime is 212923609. The next prime is 212923679. The reversal of 212923672 is 276329212.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212923679) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10438 + ... + 23125.

Almost surely, 2212923672 is an apocalyptic number.

It is an amenable number.

212923672 is an abundant number, since it is smaller than the sum of its proper divisors (224079608).

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

212923672 is a wasteful number, since it uses less digits than its factorization.

212923672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33643 (or 33639 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 212923672 is about 14591.9043308267. The cubic root of 212923672 is about 597.1379173276.

It can be divided in two parts, 21292 and 3672, that added together give a square (24964 = 1582).

The spelling of 212923672 in words is "two hundred twelve million, nine hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 6344 33563 67126 134252 268504 436319 872638 1745276 2047343 3490552 4094686 8189372 16378744 26615459 53230918 106461836 212923672