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212274150 = 2352111271013
BaseRepresentation
bin11001010011100…
…00101111100110
3112210102122101120
430221300233212
5413320233100
633021434410
75155205034
oct1451605746
9483378346
10212274150
11a9906790
125b10ba06
1334c9400a
1420299554
15139810a0
hexca70be6

212274150 has 96 divisors (see below), whose sum is σ = 579391488. Its totient is φ = 51004800.

The previous prime is 212274149. The next prime is 212274151. The reversal of 212274150 is 51472212.

It is an interprime number because it is at equal distance from previous prime (212274149) and next prime (212274151).

It is a self number, because there is not a number n which added to its sum of digits gives 212274150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212274151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209044 + ... + 210056.

It is an arithmetic number, because the mean of its divisors is an integer number (6035328).

Almost surely, 2212274150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212274150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289695744).

212274150 is an abundant number, since it is smaller than the sum of its proper divisors (367117338).

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

212274150 is a wasteful number, since it uses less digits than its factorization.

212274150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 212274150 is about 14569.6310866130. The cubic root of 212274150 is about 596.5301106857.

The spelling of 212274150 in words is "two hundred twelve million, two hundred seventy-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 127 150 165 254 275 330 381 550 635 762 825 1013 1270 1397 1650 1905 2026 2794 3039 3175 3810 4191 5065 6078 6350 6985 8382 9525 10130 11143 13970 15195 19050 20955 22286 25325 30390 33429 34925 41910 50650 55715 66858 69850 75975 104775 111430 128651 151950 167145 209550 257302 278575 334290 385953 557150 643255 771906 835725 1286510 1415161 1671450 1929765 2830322 3216275 3859530 4245483 6432550 7075805 8490966 9648825 14151610 19297650 21227415 35379025 42454830 70758050 106137075 212274150