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2114224344 = 2332433831783
BaseRepresentation
bin111111000000100…
…1000000011011000
312110100021201120100
41332001020003120
513312220134334
6545443055400
7103251416241
oct17601100330
95410251510
102114224344
11995474051
124b0071560
1327902b42b
14160b0dcc8
15c5926c99
hex7e0480d8

2114224344 has 96 divisors (see below), whose sum is σ = 5877780480. Its totient is φ = 686169792.

The previous prime is 2114224337. The next prime is 2114224351. The reversal of 2114224344 is 4434224112.

It is an interprime number because it is at equal distance from previous prime (2114224337) and next prime (2114224351).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184877 + ... + 1186659.

It is an arithmetic number, because the mean of its divisors is an integer number (61226880).

Almost surely, 22114224344 is an apocalyptic number.

2114224344 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 2114224344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938890240).

2114224344 is an abundant number, since it is smaller than the sum of its proper divisors (3763556136).

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

2114224344 is a wasteful number, since it uses less digits than its factorization.

2114224344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2214 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2114224344 is about 45980.6953405448. The cubic root of 2114224344 is about 1283.4639944024.

Adding to 2114224344 its reverse (4434224112), we get a palindrome (6548448456).

The spelling of 2114224344 in words is "two billion, one hundred fourteen million, two hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 383 387 516 766 774 1032 1149 1532 1548 1783 2298 3064 3096 3447 3566 4596 5349 6894 7132 9192 10698 13788 14264 16047 16469 21396 27576 32094 32938 42792 49407 64188 65876 76669 98814 128376 131752 148221 153338 197628 230007 296442 306676 395256 460014 592884 613352 682889 690021 920028 1185768 1365778 1380042 1840056 2048667 2731556 2760084 4097334 5463112 5520168 6146001 8194668 12292002 16389336 24584004 29364227 49168008 58728454 88092681 117456908 176185362 234913816 264278043 352370724 528556086 704741448 1057112172 2114224344