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2241504 = 253243181
BaseRepresentation
bin1000100011001111100000
311012212202200
420203033200
51033212004
6120013200
725023666
oct10431740
94185680
102241504
1112a1091
12901200
13606345
14424c36
152e4239
hex2233e0

2241504 has 72 divisors (see below), whose sum is σ = 6558552. Its totient is φ = 725760.

The previous prime is 2241479. The next prime is 2241509. The reversal of 2241504 is 4051422.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12294 + ... + 12474.

It is an arithmetic number, because the mean of its divisors is an integer number (91091).

22241504 is an apocalyptic number.

2241504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279276).

2241504 is an abundant number, since it is smaller than the sum of its proper divisors (4317048).

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

2241504 is a wasteful number, since it uses less digits than its factorization.

2241504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2241504 is about 1497.1653215327. The cubic root of 2241504 is about 130.8719296877.

Adding to 2241504 its reverse (4051422), we get a palindrome (6292926).

It can be divided in two parts, 224 and 1504, that added together give a cube (1728 = 123).

The spelling of 2241504 in words is "two million, two hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 181 258 288 344 362 387 516 543 688 724 774 1032 1086 1376 1448 1548 1629 2064 2172 2896 3096 3258 4128 4344 5792 6192 6516 7783 8688 12384 13032 15566 17376 23349 26064 31132 46698 52128 62264 70047 93396 124528 140094 186792 249056 280188 373584 560376 747168 1120752 2241504