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2220181020 = 2232530740177
BaseRepresentation
bin1000010001010101…
…0100011000011100
312201201122212210200
42010111110120130
514021331243040
61004150103500
7106006140651
oct20425243034
95651585720
102220181020
11a3a263952
1251b64ab90
13294c792a5
14170c11c28
15ceda6630
hex8455461c

2220181020 has 72 divisors (see below), whose sum is σ = 6756653904. Its totient is φ = 590105088.

The previous prime is 2220181013. The next prime is 2220181049. The reversal of 2220181020 is 201810222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2220180984 and 2220181002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35172 + ... + 75348.

Almost surely, 22220181020 is an apocalyptic number.

2220181020 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 2220181020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378326952).

2220181020 is an abundant number, since it is smaller than the sum of its proper divisors (4536472884).

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

2220181020 is a wasteful number, since it uses less digits than its factorization.

2220181020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40499 (or 40494 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2220181020 is about 47118.7968861685. The cubic root of 2220181020 is about 1304.5562061658.

Adding to 2220181020 its reverse (201810222), we get a palindrome (2421991242).

It can be divided in two parts, 2 and 220181020, that added together give a palindrome (220181022).

The spelling of 2220181020 in words is "two billion, two hundred twenty million, one hundred eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 9210 11052 13815 18420 27630 40177 55260 80354 120531 160708 200885 241062 361593 401770 482124 602655 723186 803540 1205310 1446372 1807965 2410620 3615930 7231860 12334339 24668678 37003017 49337356 61671695 74006034 111009051 123343390 148012068 185015085 222018102 246686780 370030170 444036204 555045255 740060340 1110090510 2220181020