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2122010220 = 22351123313799
BaseRepresentation
bin111111001111011…
…0100111001101100
312110212221021210010
41332132310321230
513321213311340
6550322013220
7103404534501
oct17636647154
95425837703
102122010220
11999901760
124b27a7210
1327a826265
14161b794a8
15c6463b80
hex7e7b4e6c

2122010220 has 96 divisors (see below), whose sum is σ = 6510067200. Its totient is φ = 512181760.

The previous prime is 2122010207. The next prime is 2122010221. The reversal of 2122010220 is 220102212.

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 = 2122010196 and 2122010205.

It is not an unprimeable number, because it can be changed into a prime (2122010221) 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, 146881 + ... + 160679.

It is an arithmetic number, because the mean of its divisors is an integer number (67813200).

Almost surely, 22122010220 is an apocalyptic number.

2122010220 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 2122010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255033600).

2122010220 is an abundant number, since it is smaller than the sum of its proper divisors (4388056980).

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

2122010220 is a wasteful number, since it uses less digits than its factorization.

2122010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14055 (or 14053 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2122010220 is about 46065.2821547855. The cubic root of 2122010220 is about 1285.0375659606.

Adding to 2122010220 its reverse (220102212), we get a palindrome (2342112432).

The spelling of 2122010220 in words is "two billion, one hundred twenty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 233 330 466 660 699 932 1165 1398 2330 2563 2796 3495 4660 5126 6990 7689 10252 12815 13799 13980 15378 25630 27598 30756 38445 41397 51260 55196 68995 76890 82794 137990 151789 153780 165588 206985 275980 303578 413970 455367 607156 758945 827940 910734 1517890 1821468 2276835 3035780 3215167 4553670 6430334 9107340 9645501 12860668 16075835 19291002 32151670 35366837 38582004 48227505 64303340 70733674 96455010 106100511 141467348 176834185 192910020 212201022 353668370 424402044 530502555 707336740 1061005110 2122010220