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221020424324 = 227431213151337
BaseRepresentation
bin1100110111010111011…
…0000000100010000100
3210010111021220212202122
43031311312000202010
512110122212034244
6245311350425112
721653043415640
oct3156566004204
9703437825678
10221020424324
11858092a4107
1236a03362198
1317ac423558b
14a9a9b0dc20
155b38aa81ee
hex3375d80884

221020424324 has 48 divisors (see below), whose sum is σ = 452696754048. Its totient is φ = 92443292928.

The previous prime is 221020424323. The next prime is 221020424329. The reversal of 221020424324 is 423424020122.

It is a super-2 number, since 2×2210204243242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221020424293 and 221020424302.

It is not an unprimeable number, because it can be changed into a prime (221020424321) 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, 1384784 + ... + 1536120.

It is an arithmetic number, because the mean of its divisors is an integer number (9431182376).

Almost surely, 2221020424324 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 221020424324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226348377024).

221020424324 is an abundant number, since it is smaller than the sum of its proper divisors (231676329724).

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

221020424324 is a wasteful number, since it uses less digits than its factorization.

221020424324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152604 (or 152602 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 221020424324 its reverse (423424020122), we get a palindrome (644444444446).

The spelling of 221020424324 in words is "two hundred twenty-one billion, twenty million, four hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 1213 2426 4852 8491 16982 33964 52159 104318 151337 208636 302674 365113 605348 730226 1059359 1460452 2118718 4237436 6507491 13014982 26029964 45552437 91104874 182209748 183571781 367143562 734287124 1285002467 2570004934 5140009868 7893586583 15787173166 31574346332 55255106081 110510212162 221020424324