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220222020 = 223573137367
BaseRepresentation
bin11010010000001…
…01001001000100
3120100101102211010
431020011021010
5422334101040
633504042220
75312566464
oct1510051104
9510342733
10220222020
11103345077
1261903370
13368177b5
1421367ba4
1514500e80
hexd205244

220222020 has 96 divisors (see below), whose sum is σ = 631346688. Its totient is φ = 57341952.

The previous prime is 220222019. The next prime is 220222021. The reversal of 220222020 is 20222022.

It is an interprime number because it is at equal distance from previous prime (220222019) and next prime (220222021).

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 = 220221987 and 220222005.

It is not an unprimeable number, because it can be changed into a prime (220222021) 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, 599877 + ... + 600243.

It is an arithmetic number, because the mean of its divisors is an integer number (6576528).

Almost surely, 2220222020 is an apocalyptic number.

220222020 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 220222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315673344).

220222020 is an abundant number, since it is smaller than the sum of its proper divisors (411124668).

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

220222020 is a wasteful number, since it uses less digits than its factorization.

220222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

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

The square root of 220222020 is about 14839.8793795637. The cubic root of 220222020 is about 603.8840800595.

Adding to 220222020 its reverse (20222022), we get a palindrome (240444042).

It can be divided in two parts, 22022 and 2020, that added together give a palindrome (24042).

The spelling of 220222020 in words is "two hundred twenty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 137 146 219 274 292 365 367 411 438 548 685 730 734 822 876 1095 1101 1370 1460 1468 1644 1835 2055 2190 2202 2740 3670 4110 4380 4404 5505 7340 8220 10001 11010 20002 22020 26791 30003 40004 50005 50279 53582 60006 80373 100010 100558 107164 120012 133955 150015 150837 160746 200020 201116 251395 267910 300030 301674 321492 401865 502790 535820 600060 603348 754185 803730 1005580 1508370 1607460 3016740 3670367 7340734 11011101 14681468 18351835 22022202 36703670 44044404 55055505 73407340 110111010 220222020