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2285361 = 331317383
BaseRepresentation
bin1000101101111100110001
311022002221000
420231330301
51041112421
6120552213
725265601
oct10557461
94262830
102285361
111321031
12922669
136202b0
14436c01
15302226
hex22df31

2285361 has 32 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 1320192.

The previous prime is 2285359. The next prime is 2285363. The reversal of 2285361 is 1635822.

2285361 = T510 + T511 + ... + T526.

It is an interprime number because it is at equal distance from previous prime (2285359) and next prime (2285363).

It is not a de Polignac number, because 2285361 - 21 = 2285359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 216 + 218 + 84 + 59 + 35 + 63 + 1 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2285363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5776 + ... + 6158.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22285361 is an apocalyptic number.

It is an amenable number.

2285361 is a deficient number, since it is larger than the sum of its proper divisors (1585359).

2285361 is a wasteful number, since it uses less digits than its factorization.

2285361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2285361 is about 1511.7410492541. The cubic root of 2285361 is about 131.7199641800.

The spelling of 2285361 in words is "two million, two hundred eighty-five thousand, three hundred sixty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 383 459 663 1149 1989 3447 4979 5967 6511 10341 14937 19533 44811 58599 84643 134433 175797 253929 761787 2285361