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2265312 = 25373371
BaseRepresentation
bin1000101001000011100000
311021002102110
420221003200
51034442222
6120315320
725153260
oct10510340
94232373
102265312
111307a65
12912b40
1361412a
1442d7a0
152eb30c
hex2290e0

2265312 has 48 divisors (see below), whose sum is σ = 6797952. Its totient is φ = 647040.

The previous prime is 2265287. The next prime is 2265323. The reversal of 2265312 is 2135622.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014 + ... + 2357.

It is an arithmetic number, because the mean of its divisors is an integer number (141624).

22265312 is an apocalyptic number.

It is an amenable number.

2265312 is an abundant number, since it is smaller than the sum of its proper divisors (4532640).

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

2265312 is a wasteful number, since it uses less digits than its factorization.

2265312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3383 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 2265312 is about 1505.0953458170. The cubic root of 2265312 is about 131.3336482653. Note that the first 3 decimals are identical.

The spelling of 2265312 in words is "two million, two hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3371 6742 10113 13484 20226 23597 26968 40452 47194 53936 70791 80904 94388 107872 141582 161808 188776 283164 323616 377552 566328 755104 1132656 2265312