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5206221020 = 22571121347503
BaseRepresentation
bin1001101100101000…
…01010000011011100
3111102211102102121202
410312110022003130
541130243033040
62220335215032
7243005101640
oct46624120334
914384372552
105206221020
112231859a00
121013677478
1364c7b3670
14375622c20
152070de015
hex13650a0dc

5206221020 has 288 divisors, whose sum is σ = 15135289344. Its totient is φ = 1463109120.

The previous prime is 5206221019. The next prime is 5206221023. The reversal of 5206221020 is 201226025.

It is a super-3 number, since 3×52062210203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5206220983 and 5206221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206221023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10350089 + ... + 10350591.

It is an arithmetic number, because the mean of its divisors is an integer number (52553088).

Almost surely, 25206221020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5206221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567644672).

5206221020 is an abundant number, since it is smaller than the sum of its proper divisors (9929068324).

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

5206221020 is a wasteful number, since it uses less digits than its factorization.

5206221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5206221020 is about 72154.1476285321. The cubic root of 5206221020 is about 1733.1688187878.

Adding to 5206221020 its reverse (201226025), we get a palindrome (5407447045).

The spelling of 5206221020 in words is "five billion, two hundred six million, two hundred twenty-one thousand, twenty".