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211134210 = 23572937937
BaseRepresentation
bin11001001010110…
…10011100000010
3112201021201200120
430211122130002
5413022243320
632541201110
75142416430
oct1445323402
9481251616
10211134210
11a91a8291
125a860196
13349851b1
142007dd50
1513808440
hexc95a702

211134210 has 128 divisors (see below), whose sum is σ = 615928320. Its totient is φ = 45287424.

The previous prime is 211134197. The next prime is 211134221. The reversal of 211134210 is 12431112.

211134210 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211134210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224862 + ... + 225798.

It is an arithmetic number, because the mean of its divisors is an integer number (4811940).

Almost surely, 2211134210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211134210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307964160).

211134210 is an abundant number, since it is smaller than the sum of its proper divisors (404794110).

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

211134210 is a wasteful number, since it uses less digits than its factorization.

211134210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 211134210 is about 14530.4580106754. The cubic root of 211134210 is about 595.4603785745.

Adding to 211134210 its reverse (12431112), we get a palindrome (223565322).

It can be divided in two parts, 211 and 134210, that added together give a triangular number (134421 = T518).

The spelling of 211134210 in words is "two hundred eleven million, one hundred thirty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 37 42 58 70 74 87 105 111 145 174 185 203 210 222 259 290 370 406 435 518 555 609 777 870 937 1015 1073 1110 1218 1295 1554 1874 2030 2146 2590 2811 3045 3219 3885 4685 5365 5622 6090 6438 6559 7511 7770 9370 10730 13118 14055 15022 16095 19677 22533 27173 28110 32190 32795 34669 37555 39354 45066 54346 65590 69338 75110 81519 98385 104007 112665 135865 163038 173345 190211 196770 208014 225330 242683 271730 346690 380422 407595 485366 520035 570633 728049 815190 951055 1005401 1040070 1141266 1213415 1456098 1902110 2010802 2426830 2853165 3016203 3640245 5027005 5706330 6032406 7037807 7280490 10054010 14075614 15081015 21113421 30162030 35189035 42226842 70378070 105567105 211134210