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220220031000 = 23353170942953
BaseRepresentation
bin1100110100011000100…
…0110000000000011000
3210001102111211200112110
43031012020300000120
512102002311443000
6245100115312320
721624154243464
oct3150610600030
9701374750473
10220220031000
1185438514822
123681b2ab6a0
13179c7475668
14a9316c14a4
155add6a4850
hex3346230018

220220031000 has 128 divisors (see below), whose sum is σ = 687504542400. Its totient is φ = 58689612800.

The previous prime is 220220030999. The next prime is 220220031001. The reversal of 220220031000 is 130022022.

It is an interprime number because it is at equal distance from previous prime (220220030999) and next prime (220220031001).

It is a super-2 number, since 2×2202200310002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220031001) 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, 5105524 + ... + 5148476.

Almost surely, 2220220031000 is an apocalyptic number.

220220031000 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 220220031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343752271200).

220220031000 is an abundant number, since it is smaller than the sum of its proper divisors (467284511400).

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

220220031000 is a wasteful number, since it uses less digits than its factorization.

220220031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44686 (or 44672 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 220220031000 its reverse (130022022), we get a palindrome (220350053022).

The spelling of 220220031000 in words is "two hundred twenty billion, two hundred twenty million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1709 3000 3418 5127 6836 8545 10254 13672 17090 20508 25635 34180 41016 42725 42953 51270 68360 85450 85906 102540 128175 128859 170900 171812 205080 213625 214765 256350 257718 341800 343624 427250 429530 512700 515436 640875 644295 854500 859060 1025400 1030872 1073825 1281750 1288590 1709000 1718120 2147650 2563500 2577180 3221475 4295300 5127000 5154360 5369125 6442950 8590600 10738250 12885900 16107375 21476500 25771800 32214750 42953000 64429500 73406677 128859000 146813354 220220031 293626708 367033385 440440062 587253416 734066770 880880124 1101100155 1468133540 1761760248 1835166925 2202200310 2936267080 3670333850 4404400620 5505500775 7340667700 8808801240 9175834625 11011001550 14681335400 18351669250 22022003100 27527503875 36703338500 44044006200 55055007750 73406677000 110110015500 220220031000