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2254445361 = 3274172192
BaseRepresentation
bin1000011001100000…
…0001101100110001
312211010010200122100
42012120001230301
514104114222421
61011412331013
7106603320000
oct20630015461
95733120570
102254445361
11a57637193
1252b013a69
1329c0b524c
141755b0c37
15d2dc3c26
hex86601b31

2254445361 has 135 divisors (see below), whose sum is σ = 4259119371. Its totient is φ = 1148660352.

The previous prime is 2254445359. The next prime is 2254445363. The reversal of 2254445361 is 1635444522.

The square root of 2254445361 is 47481.

It is a perfect power (a square), and thus also a powerful number.

2254445361 is a `hidden beast` number, since 2 + 2 + 544 + 4 + 53 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (2254445359) and next prime (2254445363).

It can be written as a sum of positive squares in only one way, i.e., 1755191025 + 499254336 = 41895^2 + 22344^2 .

It is not a de Polignac number, because 2254445361 - 21 = 2254445359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2254445363) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 118655010 + ... + 118655028.

Almost surely, 22254445361 is an apocalyptic number.

2254445361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2254445361 is the 47481-st square number.

2254445361 is the 23741-st centered octagonal number.

It is an amenable number.

2254445361 is a deficient number, since it is larger than the sum of its proper divisors (2004674010).

2254445361 is an equidigital number, since it uses as much as digits as its factorization.

2254445361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The cubic root of 2254445361 is about 1311.2331028480.

Multiplying 2254445361 by its sum of digits (36), we get a square (81160032996 = 2848862).

Adding to 2254445361 its reverse (1635444522), we get a palindrome (3889889883).

The spelling of 2254445361 in words is "two billion, two hundred fifty-four million, four hundred forty-five thousand, three hundred sixty-one".

Divisors: 1 3 7 9 17 19 21 49 51 57 63 119 133 147 153 171 289 323 343 357 361 399 441 833 867 931 969 1029 1071 1083 1197 2023 2261 2401 2499 2527 2601 2793 2907 3087 3249 5491 5831 6069 6137 6517 6783 7203 7497 7581 8379 14161 15827 16473 17493 17689 18207 18411 19551 20349 21609 22743 38437 40817 42483 42959 45619 47481 49419 52479 53067 55233 58653 99127 104329 110789 115311 122451 123823 127449 128877 136857 142443 159201 269059 297381 300713 312987 332367 345933 367353 371469 386631 410571 693889 730303 775523 807177 866761 892143 902139 938961 997101 1114407 1883413 2081667 2104991 2190909 2326569 2421531 2600283 2706417 5112121 5650239 6245001 6314973 6572727 6979707 7800849 13183891 14734937 15336363 16950717 18944919 35784847 39551673 44204811 46009089 107354541 118655019 132614433 250493929 322063623 751481787 2254445361