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193051425 = 35272131401
BaseRepresentation
bin10111000000110…
…11101100100001
3111110021000202210
423200123230201
5343410121200
631053432333
74532624100
oct1340335441
9443230683
10193051425
1199a77436
125479b6a9
1330cc3618
141b8d4037
1511e35650
hexb81bb21

193051425 has 72 divisors (see below), whose sum is σ = 375056352. Its totient is φ = 87360000.

The previous prime is 193051423. The next prime is 193051427. The reversal of 193051425 is 524150391.

193051425 is a nontrivial binomial coefficient, being equal to C(19650, 2).

It is an interprime number because it is at equal distance from previous prime (193051423) and next prime (193051427).

It is not a de Polignac number, because 193051425 - 21 = 193051423 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 193051392 and 193051401.

It is not an unprimeable number, because it can be changed into a prime (193051421) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 481225 + ... + 481625.

It is an arithmetic number, because the mean of its divisors is an integer number (5209116).

Almost surely, 2193051425 is an apocalyptic number.

193051425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

193051425 is the 19649-th triangular number and also the 9825-th hexagonal number.

It is an amenable number.

193051425 is a deficient number, since it is larger than the sum of its proper divisors (182004927).

193051425 is a wasteful number, since it uses less digits than its factorization.

193051425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 193051425 is about 13894.2946924268. The cubic root of 193051425 is about 577.9509792280.

The spelling of 193051425 in words is "one hundred ninety-three million, fifty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 131 147 175 245 393 401 525 655 735 917 1203 1225 1965 2005 2751 2807 3275 3675 4585 6015 6419 8421 9825 10025 13755 14035 19257 19649 22925 30075 32095 42105 52531 58947 68775 70175 96285 98245 157593 160475 210525 262655 294735 367717 481425 491225 787965 1103151 1313275 1473675 1838585 2574019 3939825 5515755 7722057 9192925 12870095 27578775 38610285 64350475 193051425