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2955216 = 2431129193
BaseRepresentation
bin1011010001011111010000
312120010210110
423101133100
51224031331
6143201320
734055535
oct13213720
95503713
102955216
111739330
12ba6240
137c6164
1456cd8c
153d5946
hex2d17d0

2955216 has 80 divisors (see below), whose sum is σ = 8660160. Its totient is φ = 860160.

The previous prime is 2955209. The next prime is 2955217. The reversal of 2955216 is 6125592.

It is a happy number.

2955216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2955217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15216 + ... + 15408.

It is an arithmetic number, because the mean of its divisors is an integer number (108252).

22955216 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 2955216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330080).

2955216 is an abundant number, since it is smaller than the sum of its proper divisors (5704944).

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

2955216 is a wasteful number, since it uses less digits than its factorization.

2955216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 2955216 is about 1719.0741694296. The cubic root of 2955216 is about 143.5036926373.

The spelling of 2955216 in words is "two million, nine hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 193 232 264 319 348 386 464 528 579 638 696 772 957 1158 1276 1392 1544 1914 2123 2316 2552 3088 3828 4246 4632 5104 5597 6369 7656 8492 9264 11194 12738 15312 16791 16984 22388 25476 33582 33968 44776 50952 61567 67164 89552 101904 123134 134328 184701 246268 268656 369402 492536 738804 985072 1477608 2955216