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212168430 = 2335785809
BaseRepresentation
bin11001010010101…
…10111011101110
3112210020021101000
430221112323232
5413303342210
633015301130
75154254565
oct1451267356
9483207330
10212168430
11a9844311
125b07a7a6
1334c57b66
142026cbdc
151395eac0
hexca56eee

212168430 has 32 divisors (see below), whose sum is σ = 565783200. Its totient is φ = 56578176.

The previous prime is 212168419. The next prime is 212168477. The reversal of 212168430 is 34861212.

212168430 is a `hidden beast` number, since 212 + 16 + 8 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 212168394 and 212168403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392635 + ... + 393174.

It is an arithmetic number, because the mean of its divisors is an integer number (17680725).

Almost surely, 2212168430 is an apocalyptic number.

212168430 is an abundant number, since it is smaller than the sum of its proper divisors (353614770).

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

212168430 is a wasteful number, since it uses less digits than its factorization.

212168430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785825 (or 785819 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 212168430 is about 14566.0025401618. The cubic root of 212168430 is about 596.4310632420.

It can be divided in two parts, 21216 and 8430, that added together give a triangular number (29646 = T243).

The spelling of 212168430 in words is "two hundred twelve million, one hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 785809 1571618 2357427 3929045 4714854 7072281 7858090 11787135 14144562 21216843 23574270 35361405 42433686 70722810 106084215 212168430