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2240131072 = 2121753607
BaseRepresentation
bin1000010110000101…
…1011000000000000
312210010012110010111
42011201123000000
514041433143242
61010141441104
7106340541244
oct20541330000
95703173114
102240131072
11a4a54a6a3
12526270194
13299142a5a
14173726424
15d19e7817
hex8585b000

2240131072 has 104 divisors (see below), whose sum is σ = 4840684416. Its totient is φ = 1032585216.

The previous prime is 2240131067. The next prime is 2240131079. The reversal of 2240131072 is 2701310422.

It is not an unprimeable number, because it can be changed into a prime (2240131079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3690193 + ... + 3690799.

Almost surely, 22240131072 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 2240131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420342208).

2240131072 is an abundant number, since it is smaller than the sum of its proper divisors (2600553344).

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

2240131072 is an equidigital number, since it uses as much as digits as its factorization.

2240131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2240131072 is about 47330.0229452723. The cubic root of 2240131072 is about 1308.4520441255.

Adding to 2240131072 its reverse (2701310422), we get a palindrome (4941441494).

The spelling of 2240131072 in words is "two billion, two hundred forty million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 256 272 424 512 544 607 848 901 1024 1088 1214 1696 1802 2048 2176 2428 3392 3604 4096 4352 4856 6784 7208 8704 9712 10319 13568 14416 17408 19424 20638 27136 28832 32171 34816 38848 41276 54272 57664 64342 69632 77696 82552 108544 115328 128684 155392 165104 217088 230656 257368 310784 330208 461312 514736 546907 621568 660416 922624 1029472 1093814 1243136 1320832 1845248 2058944 2187628 2486272 2641664 3690496 4117888 4375256 5283328 8235776 8750512 10566656 16471552 17501024 21133312 32943104 35002048 42266624 65886208 70004096 131772416 140008192 280016384 560032768 1120065536 2240131072