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220224440020 = 22513847017077
BaseRepresentation
bin1100110100011001100…
…1100100011011010100
3210001102211010200120111
43031012121210123110
512102004424040040
6245100354012404
721624236565664
oct3150631443324
9701384120514
10220224440020
118543aa56342
1236820877104
13179c835a450
14a93210c1a4
155addc75dea
hex33466646d4

220224440020 has 24 divisors (see below), whose sum is σ = 498046041864. Its totient is φ = 81313639296.

The previous prime is 220224440011. The next prime is 220224440021. The reversal of 220224440020 is 20044422022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42016324 + 220182423696 = 6482^2 + 469236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220224439973 and 220224440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220224440021) 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, 423508279 + ... + 423508798.

It is an arithmetic number, because the mean of its divisors is an integer number (20751918411).

Almost surely, 2220224440020 is an apocalyptic number.

220224440020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220224440020 is an abundant number, since it is smaller than the sum of its proper divisors (277821601844).

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

220224440020 is a wasteful number, since it uses less digits than its factorization.

220224440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847017099 (or 847017097 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 220224440020 its reverse (20044422022), we get a palindrome (240268862042).

The spelling of 220224440020 in words is "two hundred twenty billion, two hundred twenty-four million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 847017077 1694034154 3388068308 4235085385 8470170770 11011222001 16940341540 22022444002 44044888004 55056110005 110112220010 220224440020