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2430114220 = 2252313738561
BaseRepresentation
bin1001000011011000…
…1001100110101100
320021100200121000101
42100312021212230
514434102123340
61041045440444
7114135426052
oct22066114654
96240617011
102430114220
111037810866
12579a10124
132c9600911
14190a5c1d2
15e3523c9a
hex90d899ac

2430114220 has 48 divisors (see below), whose sum is σ = 5364128448. Its totient is φ = 922972160.

The previous prime is 2430114199. The next prime is 2430114221. The reversal of 2430114220 is 224110342.

It is not an unprimeable number, because it can be changed into a prime (2430114221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43740 + ... + 82300.

It is an arithmetic number, because the mean of its divisors is an integer number (111752676).

Almost surely, 22430114220 is an apocalyptic number.

2430114220 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 2430114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682064224).

2430114220 is an abundant number, since it is smaller than the sum of its proper divisors (2934014228).

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

2430114220 is a wasteful number, since it uses less digits than its factorization.

2430114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38730 (or 38728 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2430114220 is about 49296.1886964905. The cubic root of 2430114220 is about 1344.4424880836.

Adding to 2430114220 its reverse (224110342), we get a palindrome (2654224562).

The spelling of 2430114220 in words is "two billion, four hundred thirty million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 137 230 274 460 548 685 1370 2740 3151 6302 12604 15755 31510 38561 63020 77122 154244 192805 385610 771220 886903 1773806 3547612 4434515 5282857 8869030 10565714 17738060 21131428 26414285 52828570 105657140 121505711 243011422 486022844 607528555 1215057110 2430114220