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2241090 = 232537673
BaseRepresentation
bin1000100011001001000010
311012212012100
420203021002
51033203330
6120011230
725022535
oct10431102
94185170
102241090
1112a0845
12900b16
136060b7
14424a1c
152e4060
hex223242

2241090 has 48 divisors (see below), whose sum is σ = 5993208. Its totient is φ = 580608.

The previous prime is 2241073. The next prime is 2241119. The reversal of 2241090 is 901422.

It can be written as a sum of positive squares in 4 ways, for example, as 2013561 + 227529 = 1419^2 + 477^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 2994 + ... + 3666.

22241090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996604).

2241090 is an abundant number, since it is smaller than the sum of its proper divisors (3752118).

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

2241090 is a wasteful number, since it uses less digits than its factorization.

2241090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2241090 is about 1497.0270538638. The cubic root of 2241090 is about 130.8638719558.

It can be divided in two parts, 22410 and 90, that added together give a square (22500 = 1502).

The spelling of 2241090 in words is "two million, two hundred forty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 673 1110 1346 1665 2019 3330 3365 4038 6057 6730 10095 12114 20190 24901 30285 49802 60570 74703 124505 149406 224109 249010 373515 448218 747030 1120545 2241090