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114300225 = 325213231699
BaseRepresentation
bin1101101000000…
…01010101000001
321222002001102200
412310001111001
5213230101400
615201503413
72555351544
oct664012501
9258061380
10114300225
11595794a6
1232341b69
131a8ac790
141127485b
15a07bb00
hex6d01541

114300225 has 72 divisors (see below), whose sum is σ = 230193600. Its totient is φ = 53792640.

The previous prime is 114300217. The next prime is 114300229. The reversal of 114300225 is 522003411.

114300225 is a `hidden beast` number, since 11 + 430 + 0 + 225 = 666.

It is not a de Polignac number, because 114300225 - 23 = 114300217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114300198 and 114300207.

It is not an unprimeable number, because it can be changed into a prime (114300229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66426 + ... + 68124.

Almost surely, 2114300225 is an apocalyptic number.

114300225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114300225 is an abundant number, since it is smaller than the sum of its proper divisors (115893375).

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

114300225 is a wasteful number, since it uses less digits than its factorization.

114300225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114300225 is about 10691.1283314718. The cubic root of 114300225 is about 485.3060384691.

Adding to 114300225 its reverse (522003411), we get a palindrome (636303636).

The spelling of 114300225 in words is "one hundred fourteen million, three hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 23 25 39 45 65 69 75 115 117 195 207 225 299 325 345 575 585 897 975 1035 1495 1699 1725 2691 2925 4485 5097 5175 7475 8495 13455 15291 22087 22425 25485 39077 42475 66261 67275 76455 110435 117231 127425 195385 198783 331305 351693 382275 508001 552175 586155 976925 993915 1524003 1656525 1758465 2540005 2930775 4572009 4969575 7620015 8792325 12700025 22860045 38100075 114300225