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2240044000 = 25531035437
BaseRepresentation
bin1000010110000100…
…0101101111100000
312210010001000200121
42011201011233200
514041422402000
61010135530024
7106340026345
oct20541055740
95703030617
102240044000
11a4a4a0237
12526229914
1329911222c
141737027cc
15d19cbb1a
hex85845be0

2240044000 has 96 divisors (see below), whose sum is σ = 5558245056. Its totient is φ = 887155200.

The previous prime is 2240043997. The next prime is 2240044019. The reversal of 2240044000 is 4400422.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 409282 + ... + 414718.

It is an arithmetic number, because the mean of its divisors is an integer number (57898386).

Almost surely, 22240044000 is an apocalyptic number.

2240044000 is a gapful number since it is divisible by the number (20) 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 2240044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779122528).

2240044000 is an abundant number, since it is smaller than the sum of its proper divisors (3318201056).

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

2240044000 is a wasteful number, since it uses less digits than its factorization.

2240044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2240044000 is about 47329.1030973544. The cubic root of 2240044000 is about 1308.4350910978.

Adding to 2240044000 its reverse (4400422), we get a palindrome (2244444422).

The spelling of 2240044000 in words is "two billion, two hundred forty million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 800 824 1000 1030 1648 2000 2060 2575 3296 4000 4120 5150 5437 8240 10300 10874 12875 16480 20600 21748 25750 27185 41200 43496 51500 54370 82400 86992 103000 108740 135925 173984 206000 217480 271850 412000 434960 543700 560011 679625 869920 1087400 1120022 1359250 2174800 2240044 2718500 2800055 4349600 4480088 5437000 5600110 8960176 10874000 11200220 14000275 17920352 21748000 22400440 28000550 44800880 56001100 70001375 89601760 112002200 140002750 224004400 280005500 448008800 560011000 1120022000 2240044000