Search a number
-
+
2775216 = 2431719179
BaseRepresentation
bin1010100101100010110000
312012222212210
422211202300
51202301331
6135252120
732406003
oct12454260
95188783
102775216
111626074
12b1a040
13762252
1452353a
1539c446
hex2a58b0

2775216 has 80 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 820224.

The previous prime is 2775193. The next prime is 2775221. The reversal of 2775216 is 6125772.

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, 15415 + ... + 15593.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

22775216 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 2775216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2775216 is an abundant number, since it is smaller than the sum of its proper divisors (5259984).

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

2775216 is a wasteful number, since it uses less digits than its factorization.

2775216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 2775216 is about 1665.8979560585. The cubic root of 2775216 is about 140.5288838512.

The spelling of 2775216 in words is "two million, seven hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 179 204 228 272 304 323 358 408 456 537 646 716 816 912 969 1074 1292 1432 1938 2148 2584 2864 3043 3401 3876 4296 5168 6086 6802 7752 8592 9129 10203 12172 13604 15504 18258 20406 24344 27208 36516 40812 48688 54416 57817 73032 81624 115634 146064 163248 173451 231268 346902 462536 693804 925072 1387608 2775216