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2240004 = 2231383173
BaseRepresentation
bin1000100010111000000100
311012210201010
420202320010
51033140004
6120002220
725016424
oct10427004
94183633
102240004
11129aa48
12900370
13605760
14424484
152e3a89
hex222e04

2240004 has 48 divisors (see below), whose sum is σ = 5729472. Its totient is φ = 676992.

The previous prime is 2240003. The next prime is 2240023. The reversal of 2240004 is 4000422.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2240003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12862 + ... + 13034.

It is an arithmetic number, because the mean of its divisors is an integer number (119364).

22240004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864736).

2240004 is an abundant number, since it is smaller than the sum of its proper divisors (3489468).

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

2240004 is a wasteful number, since it uses less digits than its factorization.

2240004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2240004 is about 1496.6642910152. The cubic root of 2240004 is about 130.8427302900.

Adding to 2240004 its reverse (4000422), we get a palindrome (6240426).

It can be divided in two parts, 22 and 40004, that multiplied together give a palindrome (880088).

The spelling of 2240004 in words is "two million, two hundred forty thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 173 249 332 346 498 519 692 996 1038 1079 2076 2158 2249 3237 4316 4498 6474 6747 8996 12948 13494 14359 26988 28718 43077 57436 86154 172308 186667 373334 560001 746668 1120002 2240004