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220212110020 = 225716335327337
BaseRepresentation
bin1100110100010110101…
…0100010001011000100
3210001101221221020222211
43031011222202023010
512101443300010040
6245055233433204
721624030023320
oct3150552421304
9701357836884
10220212110020
1185433aa4661
123681870b804
13179c59311a6
14a93061c980
155adcb3c8ea
hex3345aa22c4

220212110020 has 96 divisors (see below), whose sum is σ = 533277335808. Its totient is φ = 74822787072.

The previous prime is 220212110017. The next prime is 220212110033. The reversal of 220212110020 is 20011212022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8041792 + ... + 8069128.

It is an arithmetic number, because the mean of its divisors is an integer number (5554972248).

Almost surely, 2220212110020 is an apocalyptic number.

220212110020 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 220212110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266638667904).

220212110020 is an abundant number, since it is smaller than the sum of its proper divisors (313065225788).

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

220212110020 is a wasteful number, since it uses less digits than its factorization.

220212110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27869 (or 27867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220212110020 its reverse (20011212022), we get a palindrome (240223322042).

The spelling of 220212110020 in words is "two hundred twenty billion, two hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 353 652 706 815 1141 1412 1630 1765 2282 2471 3260 3530 4564 4942 5705 7060 9884 11410 12355 22820 24710 27337 49420 54674 57539 109348 115078 136685 191359 230156 273370 287695 382718 402773 546740 575390 765436 805546 956795 1150780 1611092 1913590 2013865 3827180 4027730 4455931 8055460 8911862 9649961 17823724 19299922 22279655 31191517 38599844 44559310 48249805 62383034 67549727 89118620 96499610 124766068 135099454 155957585 192999220 270198908 311915170 337748635 623830340 675497270 1350994540 1572943643 3145887286 6291774572 7864718215 11010605501 15729436430 22021211002 31458872860 44042422004 55053027505 110106055010 220212110020