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213001230 = 235132937509
BaseRepresentation
bin11001011001000…
…10010000001110
3112211210120202110
430230202100032
5414012014410
633045204450
75164323561
oct1454422016
9484716673
10213001230
11aa262a82
125b400726
1335189c40
14204084d8
1513a76720
hexcb2240e

213001230 has 128 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 49158144.

The previous prime is 213001213. The next prime is 213001249. The reversal of 213001230 is 32100312.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 418216 + ... + 418724.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2213001230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213001230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

213001230 is an abundant number, since it is smaller than the sum of its proper divisors (373049970).

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

213001230 is a wasteful number, since it uses less digits than its factorization.

213001230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213001230 is about 14594.5616583712. The cubic root of 213001230 is about 597.2104115382.

Adding to 213001230 its reverse (32100312), we get a palindrome (245101542).

The spelling of 213001230 in words is "two hundred thirteen million, one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 37 39 58 65 74 78 87 111 130 145 174 185 195 222 290 370 377 390 435 481 509 555 754 870 962 1018 1073 1110 1131 1443 1527 1885 2146 2262 2405 2545 2886 3054 3219 3770 4810 5090 5365 5655 6438 6617 7215 7635 10730 11310 13234 13949 14430 14761 15270 16095 18833 19851 27898 29522 32190 33085 37666 39702 41847 44283 56499 66170 69745 73805 83694 88566 94165 99255 112998 139490 147610 188330 191893 198510 209235 221415 244829 282495 383786 418470 442830 489658 546157 564990 575679 734487 959465 1092314 1151358 1224145 1468974 1638471 1918930 2448290 2730785 2878395 3276942 3672435 5461570 5756790 7100041 7344870 8192355 14200082 16384710 21300123 35500205 42600246 71000410 106500615 213001230