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221022241224 = 23340072298293
BaseRepresentation
bin1100110111010111110…
…0111100000111001000
3210010111102100012002020
43031311330330013020
512110123143204344
6245311453404440
721653065024011
oct3156574740710
9703442305066
10221022241224
118580a325184
1236a03a99720
1317ac4720575
14a9aa064008
155b38d16719
hex3375f3c1c8

221022241224 has 32 divisors (see below), whose sum is σ = 552693741120. Its totient is φ = 73655662016.

The previous prime is 221022241213. The next prime is 221022241229. The reversal of 221022241224 is 422142220122.

It is a super-2 number, since 2×2210222412242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 221022241194 and 221022241203.

It is not an unprimeable number, because it can be changed into a prime (221022241229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052979 + ... + 1245314.

It is an arithmetic number, because the mean of its divisors is an integer number (17271679410).

Almost surely, 2221022241224 is an apocalyptic number.

221022241224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221022241224 is an abundant number, since it is smaller than the sum of its proper divisors (331671499896).

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

221022241224 is a wasteful number, since it uses less digits than its factorization.

221022241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302309 (or 2302305 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221022241224 its reverse (422142220122), we get a palindrome (643164461346).

The spelling of 221022241224 in words is "two hundred twenty-one billion, twenty-two million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 4007 8014 12021 16028 24042 32056 48084 96168 2298293 4596586 6894879 9193172 13789758 18386344 27579516 55159032 9209260051 18418520102 27627780153 36837040204 55255560306 73674080408 110511120612 221022241224