Search a number
-
+
2292096 = 27347127
BaseRepresentation
bin1000101111100110000000
311022110011110
420233212000
51041321341
6121043320
725324332
oct10574600
94273143
102292096
1113260a4
12926540
13623391
14439452
15304216
hex22f980

2292096 has 64 divisors (see below), whose sum is σ = 6266880. Its totient is φ = 741888.

The previous prime is 2292083. The next prime is 2292119. The reversal of 2292096 is 6902922.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17985 + ... + 18111.

It is an arithmetic number, because the mean of its divisors is an integer number (97920).

22292096 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 2292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133440).

2292096 is an abundant number, since it is smaller than the sum of its proper divisors (3974784).

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

2292096 is a wasteful number, since it uses less digits than its factorization.

2292096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2292096 is about 1513.9669745407. The cubic root of 2292096 is about 131.8492309809.

The spelling of 2292096 in words is "two million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 127 128 141 188 192 254 282 376 381 384 508 564 752 762 1016 1128 1504 1524 2032 2256 3008 3048 4064 4512 5969 6016 6096 8128 9024 11938 12192 16256 17907 18048 23876 24384 35814 47752 48768 71628 95504 143256 191008 286512 382016 573024 764032 1146048 2292096