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2240056404 = 2233312113191
BaseRepresentation
bin1000010110000100…
…1000110001010100
312210010001122201000
42011201020301110
514041423301104
61010140103300
7106340110455
oct20541106124
95703048630
102240056404
11a4a4a9593
12526234b30
13299117a81
1417370712c
15d19d0639
hex85848c54

2240056404 has 144 divisors (see below), whose sum is σ = 6085739520. Its totient is φ = 712454400.

The previous prime is 2240056339. The next prime is 2240056417. The reversal of 2240056404 is 4046500422.

It is a super-2 number, since 2×22400564042 = 10035705386202822432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11727949 + ... + 11728139.

It is an arithmetic number, because the mean of its divisors is an integer number (42262080).

Almost surely, 22240056404 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 2240056404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042869760).

2240056404 is an abundant number, since it is smaller than the sum of its proper divisors (3845683116).

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

2240056404 is a wasteful number, since it uses less digits than its factorization.

2240056404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2240056404 is about 47329.2341370532. The cubic root of 2240056404 is about 1308.4375061990.

Adding to 2240056404 its reverse (4046500422), we get a palindrome (6286556826).

The spelling of 2240056404 in words is "two billion, two hundred forty million, fifty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 113 124 186 191 226 279 339 372 382 452 558 573 678 764 837 961 1017 1116 1146 1356 1674 1719 1922 2034 2292 2883 3051 3348 3438 3503 3844 4068 5157 5766 5921 6102 6876 7006 8649 10314 10509 11532 11842 12204 14012 17298 17763 20628 21018 21583 23684 25947 31527 34596 35526 42036 43166 51894 53289 63054 64749 71052 86332 94581 103788 106578 108593 126108 129498 159867 183551 189162 194247 213156 217186 258996 319734 325779 367102 378324 388494 434372 550653 582741 639468 651558 669073 734204 776988 977337 1101306 1165482 1303116 1338146 1651959 1954674 2007219 2202612 2330964 2676292 2932011 3303918 3909348 4014438 4955877 5864022 6021657 6607836 8028876 9911754 11728044 12043314 18064971 19823508 20741263 24086628 36129942 41482526 62223789 72259884 82965052 124447578 186671367 248895156 373342734 560014101 746685468 1120028202 2240056404