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220672206 = 232176611091
BaseRepresentation
bin11010010011100…
…11000011001110
3120101020022100200
431021303003032
5422443002311
633521434330
75316453126
oct1511630316
9511208320
10220672206
11103622327
1261a9b9a6
1336944691
1421443c86
151458e556
hexd2730ce

220672206 has 48 divisors (see below), whose sum is σ = 507478608. Its totient is φ = 69062400.

The previous prime is 220672169. The next prime is 220672217. The reversal of 220672206 is 602276022.

220672206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 220672206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201721 + ... + 202811.

It is an arithmetic number, because the mean of its divisors is an integer number (10572471).

Almost surely, 2220672206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220672206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253739304).

220672206 is an abundant number, since it is smaller than the sum of its proper divisors (286806402).

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

220672206 is a wasteful number, since it uses less digits than its factorization.

220672206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 220672206 is about 14855.0397508724. The cubic root of 220672206 is about 604.2952940390.

The spelling of 220672206 in words is "two hundred twenty million, six hundred seventy-two thousand, two hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 661 1091 1322 1983 2182 3273 3966 5949 6546 9819 11237 11898 18547 19638 22474 33711 37094 55641 67422 101133 111282 166923 202266 333846 721151 1442302 2163453 4326906 6490359 12259567 12980718 24519134 36778701 73557402 110336103 220672206