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225384393 = 31379191383
BaseRepresentation
bin11010110111100…
…01011111001001
3120201002201021010
431123301133021
5430144300033
634210434133
75404510233
oct1533613711
9521081233
10225384393
111062506a3
1263592949
1337904460
1421d0d253
1514bc0863
hexd6f17c9

225384393 has 32 divisors (see below), whose sum is σ = 330301440. Its totient is φ = 135869760.

The previous prime is 225384377. The next prime is 225384431. The reversal of 225384393 is 393483522.

It is not a de Polignac number, because 225384393 - 24 = 225384377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (225384343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588280 + ... + 588662.

It is an arithmetic number, because the mean of its divisors is an integer number (10321920).

Almost surely, 2225384393 is an apocalyptic number.

It is an amenable number.

225384393 is a deficient number, since it is larger than the sum of its proper divisors (104917047).

225384393 is a wasteful number, since it uses less digits than its factorization.

225384393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669.

The product of its digits is 155520, while the sum is 39.

The square root of 225384393 is about 15012.8076321520. The cubic root of 225384393 is about 608.5663663330.

The spelling of 225384393 in words is "two hundred twenty-five million, three hundred eighty-four thousand, three hundred ninety-three".

Divisors: 1 3 13 39 79 191 237 383 573 1027 1149 2483 3081 4979 7449 14937 15089 30257 45267 73153 90771 196157 219459 393341 588471 950989 1180023 2852967 5779087 17337261 75128131 225384393