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212152110 = 235294353107
BaseRepresentation
bin11001010010100…
…10111100101110
3112210012102222120
430221102330232
5413302331420
633015053410
75154156162
oct1451227456
9483172876
10212152110
11a9833025
125b071266
1334c505c1
1420266ca2
1513959d40
hexca52f2e

212152110 has 128 divisors (see below), whose sum is σ = 554273280. Its totient is φ = 51856896.

The previous prime is 212152099. The next prime is 212152159. The reversal of 212152110 is 11251212.

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 212152110.

It is a congruent number.

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, 1982677 + ... + 1982783.

It is an arithmetic number, because the mean of its divisors is an integer number (4330260).

Almost surely, 2212152110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212152110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277136640).

212152110 is an abundant number, since it is smaller than the sum of its proper divisors (342121170).

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

212152110 is a wasteful number, since it uses less digits than its factorization.

212152110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 212152110 is about 14565.4423207811. The cubic root of 212152110 is about 596.4157703534.

The spelling of 212152110 in words is "two hundred twelve million, one hundred fifty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 43 53 58 86 87 106 107 129 145 159 174 214 215 258 265 290 318 321 430 435 530 535 642 645 795 870 1070 1247 1290 1537 1590 1605 2279 2494 3074 3103 3210 3741 4558 4601 4611 5671 6206 6235 6837 7482 7685 9202 9222 9309 11342 11395 12470 13674 13803 15370 15515 17013 18618 18705 22790 23005 23055 27606 28355 31030 34026 34185 37410 46010 46110 46545 56710 66091 68370 69015 85065 93090 132182 133429 138030 164459 170130 198273 243853 266858 328918 330455 396546 400287 487706 493377 660910 667145 731559 800574 822295 986754 991365 1219265 1334290 1463118 1644590 1982730 2001435 2438530 2466885 3657795 4002870 4933770 7071737 7315590 14143474 21215211 35358685 42430422 70717370 106076055 212152110