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430212244 = 2271147113263
BaseRepresentation
bin11001101001001…
…000010010010100
31002222112001020211
4121221020102110
51340113242434
6110404535204
713442513050
oct3151102224
91088461224
10430212244
11200930910
121000b1504
136b18c077
14411cac60
1527b80464
hex19a48494

430212244 has 96 divisors (see below), whose sum is σ = 970776576. Its totient is φ = 161978880.

The previous prime is 430212241. The next prime is 430212259. The reversal of 430212244 is 442212034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430212241) 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 31 ways as a sum of consecutive naturals, for example, 1635657 + ... + 1635919.

It is an arithmetic number, because the mean of its divisors is an integer number (10112256).

Almost surely, 2430212244 is an apocalyptic number.

430212244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430212244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485388288).

430212244 is an abundant number, since it is smaller than the sum of its proper divisors (540564332).

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

430212244 is a wasteful number, since it uses less digits than its factorization.

430212244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 430212244 is about 20741.5583792540. The cubic root of 430212244 is about 754.9083958273.

Adding to 430212244 its reverse (442212034), we get a palindrome (872424278).

The spelling of 430212244 in words is "four hundred thirty million, two hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 113 154 188 226 263 308 329 452 517 526 658 791 1034 1052 1243 1316 1582 1841 2068 2486 2893 3164 3619 3682 4972 5311 5786 7238 7364 8701 10622 11572 12361 14476 17402 20251 21244 24722 29719 34804 37177 40502 49444 58421 59438 74354 81004 86527 116842 118876 135971 148708 173054 208033 233684 271942 326909 346108 408947 416066 543884 653818 817894 832132 951797 1307636 1396793 1635788 1903594 2288363 2793586 3807188 4576726 5587172 9153452 9777551 15364723 19555102 30729446 39110204 61458892 107553061 215106122 430212244