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2028202110 = 2325118324683
BaseRepresentation
bin111100011100011…
…1110100001111110
312020100102100020200
41320320332201332
513123204431420
6533131224330
7101155301454
oct17070764176
95210370220
102028202110
1195095a2a0
124872a80a6
1326426cbbc
1415351a9d4
15bd0d3b90
hex78e3e87e

2028202110 has 96 divisors (see below), whose sum is σ = 5822264448. Its totient is φ = 485741760.

The previous prime is 2028202093. The next prime is 2028202147. The reversal of 2028202110 is 112028202.

It is a happy number.

It is a super-2 number, since 2×20282021102 = 8227207598016904200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69829 + ... + 94511.

It is an arithmetic number, because the mean of its divisors is an integer number (60648588).

Almost surely, 22028202110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911132224).

2028202110 is an abundant number, since it is smaller than the sum of its proper divisors (3794062338).

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

2028202110 is a wasteful number, since it uses less digits than its factorization.

2028202110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24790 (or 24787 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2028202110 is about 45035.5649459402. The cubic root of 2028202110 is about 1265.8155021152.

The spelling of 2028202110 in words is "two billion, twenty-eight million, two hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 83 90 99 110 165 166 198 249 330 415 495 498 747 830 913 990 1245 1494 1826 2490 2739 3735 4565 5478 7470 8217 9130 13695 16434 24683 27390 41085 49366 74049 82170 123415 148098 222147 246830 271513 370245 444294 543026 740490 814539 1110735 1357565 1629078 2048689 2221470 2443617 2715130 4072695 4097378 4887234 6146067 8145390 10243445 12218085 12292134 18438201 20486890 22535579 24436170 30730335 36876402 45071158 61460670 67606737 92191005 112677895 135213474 184382010 202820211 225355790 338033685 405640422 676067370 1014101055 2028202110