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2241005040 = 243253112507
BaseRepresentation
bin1000010110010011…
…0000010111110000
312210011211211222200
42011210300113300
514042144130130
61010212303200
7106351141251
oct20544602760
95704754880
102241005040
11a4aa9728a
12526611b00
1329938a7b1
141738b2b28
15d1b1b760
hex859305f0

2241005040 has 60 divisors (see below), whose sum is σ = 7526044344. Its totient is φ = 597601152.

The previous prime is 2241005029. The next prime is 2241005089. The reversal of 2241005040 is 405001422.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1555534 + ... + 1556973.

Almost surely, 22241005040 is an apocalyptic number.

2241005040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241005040 is an abundant number, since it is smaller than the sum of its proper divisors (5285039304).

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

2241005040 is a wasteful number, since it uses less digits than its factorization.

2241005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112526 (or 3112517 counting only the distinct ones).

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

The square root of 2241005040 is about 47339.2547469856. The cubic root of 2241005040 is about 1308.6221824637.

Adding to 2241005040 its reverse (405001422), we get a palindrome (2646006462).

The spelling of 2241005040 in words is "two billion, two hundred forty-one million, five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3112507 6225014 9337521 12450028 15562535 18675042 24900056 28012563 31125070 37350084 46687605 49800112 56025126 62250140 74700168 93375210 112050252 124500280 140062815 149400336 186750420 224100504 249000560 280125630 373500840 448201008 560251260 747001680 1120502520 2241005040