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2263405 = 54161181
BaseRepresentation
bin1000101000100101101101
311020222210211
420220211231
51034412110
6120302421
725144564
oct10504555
94228724
102263405
111306591
12911a11
136132c1
1442cbdb
152ea98a
hex22896d

2263405 has 16 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 1728000.

The previous prime is 2263381. The next prime is 2263411. The reversal of 2263405 is 5043622.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1592644 + 670761 = 1262^2 + 819^2 .

It is a de Polignac number, because none of the positive numbers 2k-2263405 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12415 + ... + 12595.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

22263405 is an apocalyptic number.

It is an amenable number.

2263405 is a deficient number, since it is larger than the sum of its proper divisors (580163).

2263405 is a wasteful number, since it uses less digits than its factorization.

2263405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2263405 is about 1504.4616977511. The cubic root of 2263405 is about 131.2967845309.

The spelling of 2263405 in words is "two million, two hundred sixty-three thousand, four hundred five".

Divisors: 1 5 41 61 181 205 305 905 2501 7421 11041 12505 37105 55205 452681 2263405