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2265276 = 2231321117
BaseRepresentation
bin1000101001000010111100
311021002101010
420221002330
51034442101
6120315220
725153206
oct10510274
94232333
102265276
111307a32
12912b10
13614100
1442d776
152eb2d6
hex2290bc

2265276 has 36 divisors (see below), whose sum is σ = 5728632. Its totient is φ = 696384.

The previous prime is 2265271. The next prime is 2265287. The reversal of 2265276 is 6725622.

2265276 = 932 + 942 + ... + 1962.

It is a d-powerful number, because it can be written as 211 + 217 + 64 + 59 + 217 + 7 + 66 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1470 + ... + 2586.

22265276 is an apocalyptic number.

2265276 is a gapful number since it is divisible by the number (26) 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 2265276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864316).

2265276 is an abundant number, since it is smaller than the sum of its proper divisors (3463356).

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

2265276 is a wasteful number, since it uses less digits than its factorization.

2265276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1135 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2265276 is about 1505.0833863943. The cubic root of 2265276 is about 131.3329525500.

The spelling of 2265276 in words is "two million, two hundred sixty-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1117 2028 2234 3351 4468 6702 13404 14521 29042 43563 58084 87126 174252 188773 377546 566319 755092 1132638 2265276