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220440440331 = 3369831169191
BaseRepresentation
bin1100110101001101000…
…1100010111000001011
3210001222212120122022000
43031103101202320023
512102430223042311
6245134031402043
721632501553336
oct3152321427013
9701885518260
10220440440331
11855409775a1
1236881083323
1317a31027497
14a952a9761d
155b02be1056
hex3353462e0b

220440440331 has 16 divisors (see below), whose sum is σ = 326625477120. Its totient is φ = 146939122440.

The previous prime is 220440440309. The next prime is 220440440347. The reversal of 220440440331 is 133044044022.

It is a happy number.

220440440331 is a `hidden beast` number, since 220 + 4 + 4 + 0 + 4 + 403 + 31 = 666.

It is not a de Polignac number, because 220440440331 - 215 = 220440407563 is a prime.

It is a super-2 number, since 2×2204404403312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220440440295 and 220440440304.

It is not an unprimeable number, because it can be changed into a prime (220440440431) 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, 396055 + ... + 773136.

It is an arithmetic number, because the mean of its divisors is an integer number (20414092320).

Almost surely, 2220440440331 is an apocalyptic number.

220440440331 is a deficient number, since it is larger than the sum of its proper divisors (106185036789).

220440440331 is a wasteful number, since it uses less digits than its factorization.

220440440331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176183 (or 1176177 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 220440440331 its reverse (133044044022), we get a palindrome (353484484353).

The spelling of 220440440331 in words is "two hundred twenty billion, four hundred forty million, four hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 6983 20949 62847 188541 1169191 3507573 10522719 31568157 8164460753 24493382259 73480146777 220440440331