Search a number
-
+
22414014420 = 22357112947269
BaseRepresentation
bin10100110111111110…
…101011011111010100
32010212001220220111020
4110313332223133110
5331400441430140
614144042041140
71422303656550
oct246776533724
963761826436
1022414014420
119562143866
1244164a91b0
13216285c435
141128b52860
158b2b5e6d0
hex537fab7d4

22414014420 has 96 divisors (see below), whose sum is σ = 71789894400. Its totient is φ = 5118557184.

The previous prime is 22414014419. The next prime is 22414014437. The reversal of 22414014420 is 2441041422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450546 + ... + 497814.

It is an arithmetic number, because the mean of its divisors is an integer number (747811400).

Almost surely, 222414014420 is an apocalyptic number.

22414014420 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 22414014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35894947200).

22414014420 is an abundant number, since it is smaller than the sum of its proper divisors (49375879980).

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

22414014420 is a wasteful number, since it uses less digits than its factorization.

22414014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48417 (or 48415 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22414014420 its reverse (2441041422), we get a palindrome (24855055842).

The spelling of 22414014420 in words is "twenty-two billion, four hundred fourteen million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1129 2258 3387 4516 5645 6774 7903 11290 13548 15806 16935 22580 23709 31612 33870 39515 47269 47418 67740 79030 94538 94836 118545 141807 158060 189076 236345 237090 283614 330883 472690 474180 567228 661766 709035 945380 992649 1323532 1418070 1654415 1985298 2836140 3308830 3970596 4963245 6617660 9926490 19852980 53366701 106733402 160100103 213466804 266833505 320200206 373566907 533667010 640400412 747133814 800500515 1067334020 1120700721 1494267628 1601001030 1867834535 2241401442 3202002060 3735669070 4482802884 5603503605 7471338140 11207007210 22414014420