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2220040020 = 22351119916903
BaseRepresentation
bin1000010001010011…
…0001111101010100
312201201101201101110
42010110301331110
514021312240040
61004143055020
7106005012612
oct20424617524
95651351343
102220040020
11a3a177a20
1251b5a1470
13294c2a063
14170bb66b2
15ced79980
hex84531f54

2220040020 has 96 divisors (see below), whose sum is σ = 6815692800. Its totient is φ = 535455360.

The previous prime is 2220040019. The next prime is 2220040021. The reversal of 2220040020 is 200400222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2220040019) and next prime (2220040021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2220039978 and 2220040005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220040021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122889 + ... + 139791.

It is an arithmetic number, because the mean of its divisors is an integer number (70996800).

Almost surely, 22220040020 is an apocalyptic number.

2220040020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407846400).

2220040020 is an abundant number, since it is smaller than the sum of its proper divisors (4595652780).

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

2220040020 is a wasteful number, since it uses less digits than its factorization.

2220040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17125 (or 17123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2220040020 is about 47117.3006442432. The cubic root of 2220040020 is about 1304.5285888503.

Adding to 2220040020 its reverse (200400222), we get a palindrome (2420440242).

It can be divided in two parts, 2 and 220040020, that added together give a palindrome (220040022).

The spelling of 2220040020 in words is "two billion, two hundred twenty million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 199 220 330 398 597 660 796 995 1194 1990 2189 2388 2985 3980 4378 5970 6567 8756 10945 11940 13134 16903 21890 26268 32835 33806 43780 50709 65670 67612 84515 101418 131340 169030 185933 202836 253545 338060 371866 507090 557799 743732 929665 1014180 1115598 1859330 2231196 2788995 3363697 3718660 5577990 6727394 10091091 11155980 13454788 16818485 20182182 33636970 37000667 40364364 50455455 67273940 74001334 100910910 111002001 148002668 185003335 201821820 222004002 370006670 444008004 555010005 740013340 1110020010 2220040020