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2252221335 = 335713199649
BaseRepresentation
bin1000011000111110…
…0010101110010111
312210221221200212000
42012033202232113
514103032040320
61011252530343
7106545364650
oct20617425627
95727850760
102252221335
11a56358251
1252a3209b3
1329b7b6b60
14175192527
15d2ad4c90
hex863e2b97

2252221335 has 128 divisors (see below), whose sum is σ = 5187840000. Its totient is φ = 900274176.

The previous prime is 2252221261. The next prime is 2252221343. The reversal of 2252221335 is 5331222522.

2252221335 is a `hidden beast` number, since 2 + 2 + 522 + 2 + 133 + 5 = 666.

It is not a de Polignac number, because 2252221335 - 28 = 2252221079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2252221299 and 2252221308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228591 + ... + 238239.

It is an arithmetic number, because the mean of its divisors is an integer number (40530000).

Almost surely, 22252221335 is an apocalyptic number.

2252221335 is an abundant number, since it is smaller than the sum of its proper divisors (2935618665).

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

2252221335 is a wasteful number, since it uses less digits than its factorization.

2252221335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702 (or 9696 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 2252221335 is about 47457.5740530424. The cubic root of 2252221335 is about 1310.8017807965.

Adding to 2252221335 its reverse (5331222522), we get a palindrome (7583443857).

The spelling of 2252221335 in words is "two billion, two hundred fifty-two million, two hundred twenty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 19 21 27 35 39 45 57 63 65 91 95 105 117 133 135 171 189 195 247 273 285 315 351 399 455 513 585 665 741 819 855 945 1197 1235 1365 1729 1755 1995 2223 2457 2565 3591 3705 4095 5187 5985 6669 8645 9649 11115 12285 15561 17955 25935 28947 33345 46683 48245 67543 77805 86841 125437 144735 183331 202629 233415 260523 337715 376311 434205 549993 607887 627185 878059 916655 1013145 1128933 1283317 1302615 1649979 1823661 1881555 2383303 2634177 2749965 3039435 3386799 3849951 4390295 4949937 5644665 6416585 7149909 7902531 8249895 9118305 11549853 11916515 13170885 16683121 16933995 19249755 21449727 23707593 24749685 34649559 35749545 39512655 50049363 57749265 64349181 83415605 107248635 118537965 150148089 173247795 250246815 321745905 450444267 750740445 2252221335