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4314490224 = 243112312773
BaseRepresentation
bin1000000010010100…
…11110010101110000
3102010200110210221020
410001022132111300
532314002141344
61552042255440
7211626363462
oct40112362560
912120423836
104314490224
111914465400
12a04ab7580
13539b23ac5
142cd01a132
151a3b97719
hex10129e570

4314490224 has 180 divisors, whose sum is σ = 12675454344. Its totient is φ = 1263609600.

The previous prime is 4314490223. The next prime is 4314490247. The reversal of 4314490224 is 4220944134.

It is a super-2 number, since 2×43144902242 = 37229651785983140352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314490223) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5581102 + ... + 5581874.

Almost surely, 24314490224 is an apocalyptic number.

4314490224 is a gapful number since it is divisible by the number (44) 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 4314490224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337727172).

4314490224 is an abundant number, since it is smaller than the sum of its proper divisors (8360964120).

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

4314490224 is a wasteful number, since it uses less digits than its factorization.

4314490224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4314490224 is about 65684.7792414651. The cubic root of 4314490224 is about 1627.9578757058.

The spelling of 4314490224 in words is "four billion, three hundred fourteen million, four hundred ninety thousand, two hundred twenty-four".