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212230440 = 23325589529
BaseRepresentation
bin11001010011001…
…10000100101000
3112210100102102200
430221212010220
5413312333230
633020500200
75154633432
oct1451460450
9483312380
10212230440
11a9886964
125b0aa660
1334c7a156
1420287652
1513973160
hexca66128

212230440 has 48 divisors (see below), whose sum is σ = 689750100. Its totient is φ = 56594688.

The previous prime is 212230429. The next prime is 212230441. The reversal of 212230440 is 44032212.

212230440 is a `hidden beast` number, since 2 + 1 + 223 + 0 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 209265156 + 2965284 = 14466^2 + 1722^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212230441) 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 11 ways as a sum of consecutive naturals, for example, 294405 + ... + 295124.

Almost surely, 2212230440 is an apocalyptic number.

212230440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212230440 is an abundant number, since it is smaller than the sum of its proper divisors (477519660).

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

212230440 is a wasteful number, since it uses less digits than its factorization.

212230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589546 (or 589539 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212230440 is about 14568.1309714047. The cubic root of 212230440 is about 596.4891634468.

Adding to 212230440 its reverse (44032212), we get a palindrome (256262652).

The spelling of 212230440 in words is "two hundred twelve million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 589529 1179058 1768587 2358116 2947645 3537174 4716232 5305761 5895290 7074348 8842935 10611522 11790580 14148696 17685870 21223044 23581160 26528805 35371740 42446088 53057610 70743480 106115220 212230440