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195552256 = 210192232
BaseRepresentation
bin10111010011111…
…10010000000000
3111121222002021011
423221332100000
5400030133011
631223210304
74563111124
oct1351762000
9447862234
10195552256
11a0425339
12555a6994
133168a9c3
141bd85584
151227b621
hexba7e400

195552256 has 99 divisors (see below), whose sum is σ = 431288571. Its totient is φ = 88602624.

The previous prime is 195552239. The next prime is 195552257. The reversal of 195552256 is 652255591.

It is a happy number.

The square root of 195552256 is 13984.

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

It is not an unprimeable number, because it can be changed into a prime (195552257) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8502261 + ... + 8502283.

Almost surely, 2195552256 is an apocalyptic number.

195552256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

195552256 is the 13984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195552256

195552256 is an abundant number, since it is smaller than the sum of its proper divisors (235736315).

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

195552256 is an equidigital number, since it uses as much as digits as its factorization.

195552256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 44 counting only the distinct ones).

The product of its digits is 135000, while the sum is 40.

The cubic root of 195552256 is about 580.4359148626.

The spelling of 195552256 in words is "one hundred ninety-five million, five hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 361 368 437 512 529 608 722 736 874 1024 1058 1216 1444 1472 1748 2116 2432 2888 2944 3496 4232 4864 5776 5888 6992 8303 8464 9728 10051 11552 11776 13984 16606 16928 19456 20102 23104 23552 27968 33212 33856 40204 46208 55936 66424 67712 80408 92416 111872 132848 135424 160816 184832 190969 223744 265696 270848 321632 369664 381938 447488 531392 541696 643264 763876 1062784 1286528 1527752 2125568 2573056 3055504 4251136 5146112 6111008 8502272 10292224 12222016 24444032 48888064 97776128 195552256