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217142250 = 23531322271
BaseRepresentation
bin11001111000101…
…01001111101010
3120010120222011120
430330111033222
5421042023000
633314040110
75244451533
oct1474251752
9503528146
10217142250
11101631206
1260879036
1335ca9a50
1420ba568a
15140e36a0
hexcf153ea

217142250 has 64 divisors (see below), whose sum is σ = 583704576. Its totient is φ = 53448000.

The previous prime is 217142201. The next prime is 217142257. The reversal of 217142250 is 52241712.

217142250 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 217142250.

It is not an unprimeable number, because it can be changed into a prime (217142257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386 + ... + 20885.

It is an arithmetic number, because the mean of its divisors is an integer number (9120384).

Almost surely, 2217142250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217142250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291852288).

217142250 is an abundant number, since it is smaller than the sum of its proper divisors (366562326).

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

217142250 is a wasteful number, since it uses less digits than its factorization.

217142250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22304 (or 22294 counting only the distinct ones).

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

The square root of 217142250 is about 14735.7473512544. The cubic root of 217142250 is about 601.0557800135.

Adding to 217142250 its reverse (52241712), we get a palindrome (269383962).

The spelling of 217142250 in words is "two hundred seventeen million, one hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 250 325 375 390 650 750 975 1625 1950 3250 4875 9750 22271 44542 66813 111355 133626 222710 289523 334065 556775 579046 668130 868569 1113550 1447615 1670325 1737138 2783875 2895230 3340650 4342845 5567750 7238075 8351625 8685690 14476150 16703250 21714225 36190375 43428450 72380750 108571125 217142250