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2275104 = 253131823
BaseRepresentation
bin1000101011011100100000
311021120212010
420223130200
51040300404
6120432520
725223646
oct10533440
94246763
102275104
111314357
12918740
13618720
14433196
152ee189
hex22b720

2275104 has 48 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 699648.

The previous prime is 2275103. The next prime is 2275139. The reversal of 2275104 is 4015722.

2275104 = T234 + T235 + ... + T297.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275103) 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, 337 + ... + 2159.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

22275104 is an apocalyptic number.

2275104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2275104 is an abundant number, since it is smaller than the sum of its proper divisors (4159968).

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

2275104 is a wasteful number, since it uses less digits than its factorization.

2275104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2275104 is about 1508.3447881701. The cubic root of 2275104 is about 131.5226098073.

The spelling of 2275104 in words is "two million, two hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1823 3646 5469 7292 10938 14584 21876 23699 29168 43752 47398 58336 71097 87504 94796 142194 175008 189592 284388 379184 568776 758368 1137552 2275104