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16341020224 = 26192294
BaseRepresentation
bin11110011100000000…
…00010111001000000
31120011211111211121021
433032000002321000
5231431300121344
611301300435224
71115642244244
oct171600027100
946154454537
1016341020224
116a260973a1
1232006a8b14
131705617049
14b10382424
15659908b84
hex3ce002e40

16341020224 has 105 divisors (see below), whose sum is σ = 35445461367. Its totient is φ = 7473570048.

The previous prime is 16341020221. The next prime is 16341020231. The reversal of 16341020224 is 42202014361.

It is a happy number.

The square root of 16341020224 is 127832.

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

It can be written as a sum of positive squares in 2 ways, for example, as 38837824 + 16302182400 = 6232^2 + 127680^2 .

It is a super-2 number, since 2×163410202242 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16341020221) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 563483442 + ... + 563483470.

Almost surely, 216341020224 is an apocalyptic number.

16341020224 is the 127832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16341020224

16341020224 is an abundant number, since it is smaller than the sum of its proper divisors (19104441143).

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

16341020224 is an frugal number, since it uses more digits than its factorization.

16341020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Multiplying 16341020224 by its sum of digits (25), we get a square (408525505600 = 6391602).

Multiplying 16341020224 by its product of nonzero digits (2304), we get a square (37649710596096 = 61359362).

Adding to 16341020224 its reverse (42202014361), we get a palindrome (58543034585).

The spelling of 16341020224 in words is "sixteen billion, three hundred forty-one million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 361 464 551 608 722 841 928 1102 1216 1444 1682 1856 2204 2888 3364 4408 5776 6728 8816 10469 11552 13456 15979 17632 20938 23104 24389 26912 31958 35264 41876 48778 53824 63916 83752 97556 127832 167504 195112 255664 303601 335008 390224 463391 511328 607202 670016 707281 780448 926782 1022656 1214404 1414562 1560896 1853564 2428808 2829124 3707128 4857616 5658248 7414256 8804429 9715232 11316496 13438339 14828512 17608858 19430464 22632992 26876678 29657024 35217716 45265984 53753356 70435432 107506712 140870864 215013424 255328441 281741728 430026848 510656882 563483456 860053696 1021313764 2042627528 4085255056 8170510112 16341020224