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2261124 = 2232107587
BaseRepresentation
bin1000101000000010000100
311020212200100
420220002010
51034323444
6120244100
725135125
oct10500204
94225610
102261124
1113048a8
12910630
13612258
1442c04c
152e9e69
hex228084

2261124 has 36 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 745392.

The previous prime is 2261117. The next prime is 2261131. The reversal of 2261124 is 4211622.

It is an interprime number because it is at equal distance from previous prime (2261117) and next prime (2261131).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22611242 = 10225363486752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2261097 and 2261106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3559 + ... + 4145.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

22261124 is an apocalyptic number.

It is an amenable number.

2261124 is an abundant number, since it is smaller than the sum of its proper divisors (3517740).

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

2261124 is a wasteful number, since it uses less digits than its factorization.

2261124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 699 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2261124 is about 1503.7034282065. The cubic root of 2261124 is about 131.2526638915.

Adding to 2261124 its reverse (4211622), we get a palindrome (6472746).

The spelling of 2261124 in words is "two million, two hundred sixty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 587 642 963 1174 1284 1761 1926 2348 3522 3852 5283 7044 10566 21132 62809 125618 188427 251236 376854 565281 753708 1130562 2261124