Search a number
-
+
2212848 = 2432112127
BaseRepresentation
bin1000011100001111110000
311011102110100
420130033300
51031302343
6115232400
724544311
oct10341760
94142410
102212848
111281600
128a8700
135c62a1
14418608
152da9d3
hex21c3f0

2212848 has 90 divisors (see below), whose sum is σ = 6860672. Its totient is φ = 665280.

The previous prime is 2212831. The next prime is 2212871. The reversal of 2212848 is 8482122.

It is a super-2 number, since 2×22128482 = 9793392542208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17361 + ... + 17487.

22212848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430336).

2212848 is an abundant number, since it is smaller than the sum of its proper divisors (4647824).

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

2212848 is a wasteful number, since it uses less digits than its factorization.

2212848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2212848 is about 1487.5644523852. The cubic root of 2212848 is about 130.3118352191.

The spelling of 2212848 in words is "two million, two hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 127 132 144 176 198 242 254 264 363 381 396 484 508 528 726 762 792 968 1016 1089 1143 1397 1452 1524 1584 1936 2032 2178 2286 2794 2904 3048 4191 4356 4572 5588 5808 6096 8382 8712 9144 11176 12573 15367 16764 17424 18288 22352 25146 30734 33528 46101 50292 61468 67056 92202 100584 122936 138303 184404 201168 245872 276606 368808 553212 737616 1106424 2212848