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211144230 = 232511271787
BaseRepresentation
bin11001001010111…
…00111000100110
3112201022020102200
430211130320212
5413023103410
632541315330
75142460563
oct1445347046
9481266380
10211144230
11a9204870
125a865b46
133498991b
142008386a
151380b3c0
hexc95ce26

211144230 has 96 divisors (see below), whose sum is σ = 601855488. Its totient is φ = 50932800.

The previous prime is 211144217. The next prime is 211144247. The reversal of 211144230 is 32441112.

211144230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 267897 + ... + 268683.

It is an arithmetic number, because the mean of its divisors is an integer number (6269328).

Almost surely, 2211144230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211144230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300927744).

211144230 is an abundant number, since it is smaller than the sum of its proper divisors (390711258).

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

211144230 is a wasteful number, since it uses less digits than its factorization.

211144230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

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

The square root of 211144230 is about 14530.8027995703. The cubic root of 211144230 is about 595.4697982048.

Adding to 211144230 its reverse (32441112), we get a palindrome (243585342).

It can be divided in two parts, 211 and 144230, that added together give a palindrome (144441).

The spelling of 211144230 in words is "two hundred eleven million, one hundred forty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 271 330 495 542 787 813 990 1355 1574 1626 2361 2439 2710 2981 3935 4065 4722 4878 5962 7083 7870 8130 8657 8943 11805 12195 14166 14905 17314 17886 23610 24390 25971 26829 29810 35415 43285 44715 51942 53658 70830 77913 86570 89430 129855 134145 155826 213277 259710 268290 389565 426554 639831 779130 1066385 1279662 1919493 2132770 2346047 3199155 3838986 4692094 6398310 7038141 9597465 11730235 14076282 19194930 21114423 23460470 35190705 42228846 70381410 105572115 211144230