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212141430 = 2355671303
BaseRepresentation
bin11001010010100…
…00010101110110
3112210011220100000
430221100111312
5413302011210
633014532130
75154113064
oct1451202566
9483156300
10212141430
11a9825aa6
125b067046
1334c48797
1420263034
1513956ac0
hexca50576

212141430 has 96 divisors (see below), whose sum is σ = 580978944. Its totient is φ = 55683936.

The previous prime is 212141429. The next prime is 212141437. The reversal of 212141430 is 34141212.

212141430 is a `hidden beast` number, since 21 + 214 + 1 + 430 = 666.

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

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 (212141437) 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 47 ways as a sum of consecutive naturals, for example, 162159 + ... + 163461.

It is an arithmetic number, because the mean of its divisors is an integer number (6051864).

Almost surely, 2212141430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290489472).

212141430 is an abundant number, since it is smaller than the sum of its proper divisors (368837514).

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

212141430 is a wasteful number, since it uses less digits than its factorization.

212141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212141430 is about 14565.0756949629. The cubic root of 212141430 is about 596.4057620826.

Adding to 212141430 its reverse (34141212), we get a palindrome (246282642).

The spelling of 212141430 in words is "two hundred twelve million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 162 201 243 270 335 402 405 486 603 670 810 1005 1206 1215 1303 1809 2010 2430 2606 3015 3618 3909 5427 6030 6515 7818 9045 10854 11727 13030 16281 18090 19545 23454 27135 32562 35181 39090 54270 58635 70362 81405 87301 105543 117270 162810 174602 175905 211086 261903 316629 351810 436505 523806 527715 633258 785709 873010 1055430 1309515 1571418 1583145 2357127 2619030 3166290 3928545 4714254 7071381 7857090 11785635 14142762 21214143 23571270 35356905 42428286 70713810 106070715 212141430