Search a number
-
+
211254225 = 35271322381
BaseRepresentation
bin11001001011101…
…11101111010001
3112201111211022120
430211313233101
5413040113400
632543524453
75143426350
oct1445675721
9481454276
10211254225
11a927a476
125a8b9729
13349c7a00
14200b1997
151382dca0
hexc977bd1

211254225 has 72 divisors (see below), whose sum is σ = 432418752. Its totient is φ = 89107200.

The previous prime is 211254209. The next prime is 211254229. The reversal of 211254225 is 522452112.

It is not a de Polignac number, because 211254225 - 24 = 211254209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211254195 and 211254204.

It is not an unprimeable number, because it can be changed into a prime (211254229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87535 + ... + 89915.

It is an arithmetic number, because the mean of its divisors is an integer number (6005816).

Almost surely, 2211254225 is an apocalyptic number.

211254225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211254225 is an abundant number, since it is smaller than the sum of its proper divisors (221164527).

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

211254225 is a wasteful number, since it uses less digits than its factorization.

211254225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2409 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 211254225 is about 14534.5871974405. The cubic root of 211254225 is about 595.5731830332.

The spelling of 211254225 in words is "two hundred eleven million, two hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 169 175 195 273 325 455 507 525 845 975 1183 1365 2275 2381 2535 3549 4225 5915 6825 7143 11905 12675 16667 17745 29575 30953 35715 50001 59525 83335 88725 92859 154765 178575 216671 250005 402389 416675 464295 650013 773825 1083355 1207167 1250025 2011945 2321475 2816723 3250065 5416775 6035835 8450169 10059725 14083615 16250325 30179175 42250845 70418075 211254225