Search a number
-
+
2114455224 = 233779313509
BaseRepresentation
bin111111000001000…
…0000011010111000
312110100201110021110
41332002000122320
513312300031344
6545452040320
7103253400330
oct17602003270
95410643243
102114455224
11995611562
124b01630a0
132790ac54b
14160b700c0
15c59703b9
hex7e0806b8

2114455224 has 128 divisors (see below), whose sum is σ = 6149376000. Its totient is φ = 593409024.

The previous prime is 2114455219. The next prime is 2114455237. The reversal of 2114455224 is 4225544112.

It is a junction number, because it is equal to n+sod(n) for n = 2114455191 and 2114455200.

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 31 ways as a sum of consecutive naturals, for example, 4153882 + ... + 4154390.

It is an arithmetic number, because the mean of its divisors is an integer number (48042000).

Almost surely, 22114455224 is an apocalyptic number.

2114455224 is a gapful number since it is divisible by the number (24) 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 2114455224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074688000).

2114455224 is an abundant number, since it is smaller than the sum of its proper divisors (4034920776).

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

2114455224 is a wasteful number, since it uses less digits than its factorization.

2114455224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 2114455224 is about 45983.2058908467. The cubic root of 2114455224 is about 1283.5107121474.

Adding to 2114455224 its reverse (4225544112), we get a palindrome (6339999336).

The spelling of 2114455224 in words is "two billion, one hundred fourteen million, four hundred fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 313 316 474 509 553 626 632 939 948 1018 1106 1252 1527 1659 1878 1896 2036 2191 2212 2504 3054 3318 3563 3756 4072 4382 4424 6108 6573 6636 7126 7512 8764 10689 12216 13146 13272 14252 17528 21378 24727 26292 28504 40211 42756 49454 52584 74181 80422 85512 98908 120633 148362 159317 160844 173089 197816 241266 281477 296724 318634 321688 346178 477951 482532 519267 562954 593448 637268 692356 844431 955902 965064 1038534 1115219 1125908 1274536 1384712 1688862 1911804 2077068 2230438 2251816 3345657 3377724 3823608 4154136 4460876 6691314 6755448 8921752 12586043 13382628 25172086 26765256 37758129 50344172 75516258 88102301 100688344 151032516 176204602 264306903 302065032 352409204 528613806 704818408 1057227612 2114455224