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430640226 = 23517471109
BaseRepresentation
bin11001101010110…
…000110001100010
31010000022210100000
4121222300301202
51340220441401
6110422040430
713446244602
oct3152606142
91100283300
10430640226
112010a3415
12100279116
136b2abb03
144129cc02
1527c17186
hex19ab0c62

430640226 has 96 divisors (see below), whose sum is σ = 1047271680. Its totient is φ = 132109056.

The previous prime is 430640173. The next prime is 430640279. The reversal of 430640226 is 622046034.

430640226 is a `hidden beast` number, since 430 + 6 + 4 + 0 + 226 = 666.

It is an interprime number because it is at equal distance from previous prime (430640173) and next prime (430640279).

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

It is a self number, because there is not a number n which added to its sum of digits gives 430640226.

It is a congruent number.

It is an unprimeable number.

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, 387760 + ... + 388868.

It is an arithmetic number, because the mean of its divisors is an integer number (10909080).

Almost surely, 2430640226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430640226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523635840).

430640226 is an abundant number, since it is smaller than the sum of its proper divisors (616631454).

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

430640226 is a wasteful number, since it uses less digits than its factorization.

430640226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 430640226 is about 20751.8728311447. The cubic root of 430640226 is about 755.1586444982.

The spelling of 430640226 in words is "four hundred thirty million, six hundred forty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 81 94 102 141 153 162 243 282 306 423 459 486 799 846 918 1109 1269 1377 1598 2218 2397 2538 2754 3327 3807 4131 4794 6654 7191 7614 8262 9981 11421 14382 18853 19962 21573 22842 29943 37706 43146 52123 56559 59886 64719 89829 104246 113118 129438 156369 169677 179658 194157 269487 312738 339354 388314 469107 509031 538974 886091 938214 1018062 1407321 1527093 1772182 2658273 2814642 3054186 4221963 4581279 5316546 7974819 8443926 9162558 12665889 15949638 23924457 25331778 47848914 71773371 143546742 215320113 430640226