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200020444220 = 225411312716871
BaseRepresentation
bin1011101001001000100…
…1011100010000111100
3201010021202202100200202
42322102021130100330
511234120213203340
6231515500143032
720310456503102
oct2722211342074
9633252670622
10200020444220
1177912365253
1232922537a78
1315b2862984c
149976ac3c72
15530a161c15
hex2e9225c43c

200020444220 has 96 divisors (see below), whose sum is σ = 435235756032. Its totient is φ = 77163840000.

The previous prime is 200020444199. The next prime is 200020444241. The reversal of 200020444220 is 22444020002.

It is an interprime number because it is at equal distance from previous prime (200020444199) and next prime (200020444241).

It is a super-2 number, since 2×2000204442202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 200020444192 and 200020444201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29107385 + ... + 29114255.

It is an arithmetic number, because the mean of its divisors is an integer number (4533705792).

Almost surely, 2200020444220 is an apocalyptic number.

200020444220 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 200020444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217617878016).

200020444220 is an abundant number, since it is smaller than the sum of its proper divisors (235215311812).

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

200020444220 is a wasteful number, since it uses less digits than its factorization.

200020444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7323 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 200020444220 its reverse (22444020002), we get a palindrome (222464464222).

The spelling of 200020444220 in words is "two hundred billion, twenty million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 271 410 524 542 655 820 1084 1310 1355 2620 2710 5371 5420 6871 10742 11111 13742 21484 22222 26855 27484 34355 35501 44444 53710 55555 68710 71002 107420 111110 137420 142004 177505 222220 281711 355010 563422 710020 900101 1126844 1408555 1455541 1800202 1862041 2817110 2911082 3600404 3724082 4500505 5634220 5822164 7277705 7448164 9001010 9310205 14555410 18002020 18620410 29110820 36904141 37240820 73808282 76343681 147616564 152687362 184520705 243927371 305374724 369041410 381718405 487854742 738082820 763436810 975709484 1219636855 1526873620 2439273710 4878547420 10001022211 20002044422 40004088844 50005111055 100010222110 200020444220