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214848172 = 227111674177
BaseRepresentation
bin11001100111001…
…01001010101100
3112222021102021201
430303211022230
5420000120142
633152535244
75216115340
oct1463451254
9488242251
10214848172
11100304680
125bb51524
13356857c6
1420769620
1513cddab7
hexcce52ac

214848172 has 48 divisors (see below), whose sum is σ = 471679488. Its totient is φ = 83185920.

The previous prime is 214848169. The next prime is 214848199. The reversal of 214848172 is 271848412.

It is a happy number.

214848172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49348 + ... + 53524.

It is an arithmetic number, because the mean of its divisors is an integer number (9826656).

Almost surely, 2214848172 is an apocalyptic number.

214848172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214848172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235839744).

214848172 is an abundant number, since it is smaller than the sum of its proper divisors (256831316).

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

214848172 is a wasteful number, since it uses less digits than its factorization.

214848172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4364 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 214848172 is about 14657.7000924429. The cubic root of 214848172 is about 598.9315912263.

The spelling of 214848172 in words is "two hundred fourteen million, eight hundred forty-eight thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1169 1837 2338 3674 4177 4676 7348 8354 12859 16708 25718 29239 45947 51436 58478 91894 116956 183788 321629 643258 697559 1286516 1395118 2790236 4882913 7673149 9765826 15346298 19531652 30692596 53712043 107424086 214848172