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225350340 = 22354797841
BaseRepresentation
bin11010110111010…
…01001011000100
3120201000222112220
431123221023010
5430142202330
634210012340
75404306035
oct1533511304
9521028486
10225350340
11106228056
12635770b0
13378c1ac7
1421d00a8c
1514bb5710
hexd6e92c4

225350340 has 48 divisors (see below), whose sum is σ = 632378880. Its totient is φ = 59960320.

The previous prime is 225350339. The next prime is 225350357. The reversal of 225350340 is 43053522.

225350340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225350340.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24820 + ... + 32660.

It is an arithmetic number, because the mean of its divisors is an integer number (13174560).

Almost surely, 2225350340 is an apocalyptic number.

225350340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225350340 is an abundant number, since it is smaller than the sum of its proper divisors (407028540).

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

225350340 is a wasteful number, since it uses less digits than its factorization.

225350340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8332 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 225350340 is about 15011.6734576795. The cubic root of 225350340 is about 608.5357156537.

The spelling of 225350340 in words is "two hundred twenty-five million, three hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 479 958 1437 1916 2395 2874 4790 5748 7185 7841 9580 14370 15682 23523 28740 31364 39205 47046 78410 94092 117615 156820 235230 470460 3755839 7511678 11267517 15023356 18779195 22535034 37558390 45070068 56337585 75116780 112675170 225350340