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2281216 = 2871967
BaseRepresentation
bin1000101100111100000000
311021220020111
420230330000
51040444331
6120521104
725250530
oct10547400
94256214
102281216
111318a03
12920194
1361b442
144354c0
15300db1
hex22cf00

2281216 has 72 divisors (see below), whose sum is σ = 5559680. Its totient is φ = 912384.

The previous prime is 2281211. The next prime is 2281219. The reversal of 2281216 is 6121822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34015 + ... + 34081.

22281216 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 2281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779840).

2281216 is an abundant number, since it is smaller than the sum of its proper divisors (3278464).

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

2281216 is an equidigital number, since it uses as much as digits as its factorization.

2281216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 2281216 is about 1510.3694912173. The cubic root of 2281216 is about 131.6402817041.

Subtracting 2281216 from its reverse (6121822), we obtain a triangular number (3840606 = T2771).

It can be divided in two parts, 228 and 1216, that added together give a square (1444 = 382).

The spelling of 2281216 in words is "two million, two hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 67 76 112 128 133 134 152 224 256 266 268 304 448 469 532 536 608 896 938 1064 1072 1216 1273 1792 1876 2128 2144 2432 2546 3752 4256 4288 4864 5092 7504 8512 8576 8911 10184 15008 17024 17152 17822 20368 30016 34048 35644 40736 60032 71288 81472 120064 142576 162944 285152 325888 570304 1140608 2281216