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213533430 = 235111722239
BaseRepresentation
bin11001011101001…
…00001011110110
3112212210121210120
430232210023312
5414131032210
633104432410
75202001305
oct1456441366
9485717716
10213533430
11aa596910
125b618706
1335315256
142050643c
1513b2e270
hexcba42f6

213533430 has 96 divisors (see below), whose sum is σ = 594155520. Its totient is φ = 48698880.

The previous prime is 213533417. The next prime is 213533443. The reversal of 213533430 is 34335312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213533417) and next prime (213533443).

It is a self number, because there is not a number n which added to its sum of digits gives 213533430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94251 + ... + 96489.

It is an arithmetic number, because the mean of its divisors is an integer number (6189120).

Almost surely, 2213533430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213533430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297077760).

213533430 is an abundant number, since it is smaller than the sum of its proper divisors (380622090).

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

213533430 is a wasteful number, since it uses less digits than its factorization.

213533430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 213533430 is about 14612.7831024757. The cubic root of 213533430 is about 597.7073899449.

Adding to 213533430 its reverse (34335312), we get a palindrome (247868742).

The spelling of 213533430 in words is "two hundred thirteen million, five hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 289 330 374 510 561 578 867 935 1122 1445 1734 1870 2239 2805 2890 3179 4335 4478 5610 6358 6717 8670 9537 11195 13434 15895 19074 22390 24629 31790 33585 38063 47685 49258 67170 73887 76126 95370 114189 123145 147774 190315 228378 246290 369435 380630 418693 570945 647071 738870 837386 1141890 1256079 1294142 1941213 2093465 2512158 3235355 3882426 4186930 6280395 6470710 7117781 9706065 12560790 14235562 19412130 21353343 35588905 42706686 71177810 106766715 213533430