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2228541020 = 2253179173263
BaseRepresentation
bin1000010011010100…
…1101011001011100
312202022101121120022
42010311031121130
514031001303040
61005045211312
7106140200066
oct20465153134
95668347508
102228541020
11a43a53942
12522400b38
13296915534
14171d8a736
15d09a86b5
hex84d4d65c

2228541020 has 96 divisors (see below), whose sum is σ = 4939038720. Its totient is φ = 843598080.

The previous prime is 2228541017. The next prime is 2228541061. The reversal of 2228541020 is 201458222.

It is a congruent 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, 8473409 + ... + 8473671.

It is an arithmetic number, because the mean of its divisors is an integer number (51448320).

Almost surely, 22228541020 is an apocalyptic number.

2228541020 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 2228541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469519360).

2228541020 is an abundant number, since it is smaller than the sum of its proper divisors (2710497700).

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

2228541020 is a wasteful number, since it uses less digits than its factorization.

2228541020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 2228541020 is about 47207.4254752364. The cubic root of 2228541020 is about 1306.1915727627.

Adding to 2228541020 its reverse (201458222), we get a palindrome (2429999242).

The spelling of 2228541020 in words is "two billion, two hundred twenty-eight million, five hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 79 124 155 158 173 263 310 316 346 395 526 620 692 790 865 1052 1315 1580 1730 2449 2630 3460 4898 5260 5363 8153 9796 10726 12245 13667 16306 20777 21452 24490 26815 27334 32612 40765 41554 45499 48980 53630 54668 68335 81530 83108 90998 103885 107260 136670 163060 181996 207770 227495 273340 415540 423677 454990 644087 847354 909980 1288174 1410469 1694708 2118385 2576348 2820938 3220435 3594421 4236770 5641876 6440870 7052345 7188842 8473540 12881740 14104690 14377684 17972105 28209380 35944210 71888420 111427051 222854102 445708204 557135255 1114270510 2228541020