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212526150 = 235237149257
BaseRepresentation
bin11001010101011…
…10010001000110
3112210220110001220
430222232101012
5413401314100
633031101210
75160304524
oct1452562106
9483813056
10212526150
11a9a69051
125b211806
1335051925
1420323314
15139d0aa0
hexcaae446

212526150 has 96 divisors (see below), whose sum is σ = 547063200. Its totient is φ = 54558720.

The previous prime is 212526137. The next prime is 212526157. The reversal of 212526150 is 51625212.

It is a happy number.

212526150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212526150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212526157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826822 + ... + 827078.

It is an arithmetic number, because the mean of its divisors is an integer number (5698575).

Almost surely, 2212526150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212526150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273531600).

212526150 is an abundant number, since it is smaller than the sum of its proper divisors (334537050).

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

212526150 is a wasteful number, since it uses less digits than its factorization.

212526150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 212526150 is about 14578.2766471212. The cubic root of 212526150 is about 596.7660730659.

The spelling of 212526150 in words is "two hundred twelve million, five hundred twenty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 149 150 185 222 257 298 370 447 514 555 745 771 894 925 1110 1285 1490 1542 1850 2235 2570 2775 3725 3855 4470 5513 5550 6425 7450 7710 9509 11026 11175 12850 16539 19018 19275 22350 27565 28527 33078 38293 38550 47545 55130 57054 76586 82695 95090 114879 137825 142635 165390 191465 229758 237725 275650 285270 382930 413475 475450 574395 713175 826950 957325 1148790 1416841 1426350 1914650 2833682 2871975 4250523 5743950 7084205 8501046 14168410 21252615 35421025 42505230 70842050 106263075 212526150