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212873892 = 223711230383
BaseRepresentation
bin11001011000000…
…11001010100100
3112211120010002020
430230003022210
5413443431032
633042343140
75163253410
oct1454031244
9484503066
10212873892
11aa186340
125b35aab0
1335143caa
14203b3d40
1513a4db2c
hexcb032a4

212873892 has 48 divisors (see below), whose sum is σ = 619272192. Its totient is φ = 55291680.

The previous prime is 212873887. The next prime is 212873897. The reversal of 212873892 is 298378212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212873887) and next prime (212873897).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (212873897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114268 + ... + 116115.

It is an arithmetic number, because the mean of its divisors is an integer number (12901504).

Almost surely, 2212873892 is an apocalyptic number.

212873892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212873892 is an abundant number, since it is smaller than the sum of its proper divisors (406398300).

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

212873892 is a wasteful number, since it uses less digits than its factorization.

212873892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230408 (or 230406 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 212873892 is about 14590.1984907677. The cubic root of 212873892 is about 597.0913782054.

The spelling of 212873892 in words is "two hundred twelve million, eight hundred seventy-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 230383 460766 691149 921532 1382298 1612681 2534213 2764596 3225362 4838043 5068426 6450724 7602639 9676086 10136852 15205278 17739491 19352172 30410556 35478982 53218473 70957964 106436946 212873892