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2255521464 = 233471926171
BaseRepresentation
bin1000011001110000…
…1000011010111000
312211012011100210000
42012130020122320
514104403141324
61011451353000
7106615421220
oct20634103270
95735140700
102255521464
11a58201729
1252b452760
1329c3a0cb1
141757b1080
15d30379c9
hex867086b8

2255521464 has 160 divisors (see below), whose sum is σ = 7600348800. Its totient is φ = 610493760.

The previous prime is 2255521459. The next prime is 2255521523. The reversal of 2255521464 is 4641255522.

2255521464 is a `hidden beast` number, since 22 + 55 + 521 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73099 + ... + 99269.

It is an arithmetic number, because the mean of its divisors is an integer number (47502180).

Almost surely, 22255521464 is an apocalyptic number.

2255521464 is a gapful number since it is divisible by the number (24) 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 2255521464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800174400).

2255521464 is an abundant number, since it is smaller than the sum of its proper divisors (5344827336).

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

2255521464 is a wasteful number, since it uses less digits than its factorization.

2255521464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26215 (or 26202 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2255521464 is about 47492.3305808422. The cubic root of 2255521464 is about 1311.4416977504.

Adding to 2255521464 its reverse (4641255522), we get a palindrome (6896776986).

The spelling of 2255521464 in words is "two billion, two hundred fifty-five million, five hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 6156 7182 9576 10773 12312 14364 21546 26171 28728 43092 52342 78513 86184 104684 157026 183197 209368 235539 314052 366394 471078 497249 549591 628104 706617 732788 942156 994498 1099182 1413234 1465576 1491747 1648773 1884312 1988996 2119851 2198364 2826468 2983494 3297546 3480743 3977992 4239702 4396728 4475241 4946319 5652936 5966988 6595092 6961486 8479404 8950482 9892638 10442229 11933976 13190184 13425723 13922972 14838957 16958808 17900964 19785276 20884458 26851446 27845944 29677914 31326687 35801928 39570552 40277169 41768916 53702892 59355828 62653374 80554338 83537832 93980061 107405784 118711656 125306748 161108676 187960122 250613496 281940183 322217352 375920244 563880366 751840488 1127760732 2255521464