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2414220100 = 225271340031
BaseRepresentation
bin1000111111100110…
…0001001101000100
320020020210002101021
42033321201031010
514421020020400
61035321040524
7113553350365
oct21771411504
96206702337
102414220100
111029845326
12574626144
132c6227306
1418c8c1b6c
15e1e3471a
hex8fe61344

2414220100 has 36 divisors (see below), whose sum is σ = 5312659968. Its totient is φ = 952084000.

The previous prime is 2414220049. The next prime is 2414220103. The reversal of 2414220100 is 10224142.

It is not an unprimeable number, because it can be changed into a prime (2414220103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162916 + ... + 177115.

It is an arithmetic number, because the mean of its divisors is an integer number (147573888).

Almost surely, 22414220100 is an apocalyptic number.

2414220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414220100 is an abundant number, since it is smaller than the sum of its proper divisors (2898439868).

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

2414220100 is a wasteful number, since it uses less digits than its factorization.

2414220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340116 (or 340109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2414220100 is about 49134.7137978843. The cubic root of 2414220100 is about 1341.5049735485.

Adding to 2414220100 its reverse (10224142), we get a palindrome (2424444242).

The spelling of 2414220100 in words is "two billion, four hundred fourteen million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 340031 680062 1360124 1700155 3400310 6800620 8500775 17001550 24142201 34003100 48284402 96568804 120711005 241422010 482844020 603555025 1207110050 2414220100