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2414230100 = 2252109221489
BaseRepresentation
bin1000111111100110…
…0011101001010100
320020020210121002122
42033321203221110
514421020330400
61035321155112
7113553421502
oct21771435124
96206717078
102414230100
111029851897
1257462ba98
132c622ba29
1418c8c5672
15e1e37685
hex8fe63a54

2414230100 has 36 divisors (see below), whose sum is σ = 5286966300. Its totient is φ = 956828160.

The previous prime is 2414230099. The next prime is 2414230103. The reversal of 2414230100 is 10324142.

It can be written as a sum of positive squares in 6 ways, for example, as 276676 + 2413953424 = 526^2 + 49132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414230103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99845 + ... + 121644.

It is an arithmetic number, because the mean of its divisors is an integer number (146860175).

Almost surely, 22414230100 is an apocalyptic number.

2414230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414230100 is an abundant number, since it is smaller than the sum of its proper divisors (2872736200).

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

2414230100 is a wasteful number, since it uses less digits than its factorization.

2414230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221612 (or 221605 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2414230100 is about 49134.8155588275. The cubic root of 2414230100 is about 1341.5068257727.

Adding to 2414230100 its reverse (10324142), we get a palindrome (2424554242).

The spelling of 2414230100 in words is "two billion, four hundred fourteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 221489 442978 885956 1107445 2214890 4429780 5537225 11074450 22148900 24142301 48284602 96569204 120711505 241423010 482846020 603557525 1207115050 2414230100