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225053127 = 3313647991
BaseRepresentation
bin11010110101000…
…00100111000111
3120200110212212000
431122200213013
5430103200002
634155400343
75401630365
oct1532404707
9520425760
10225053127
11106044822
12634530b3
1337819740
1421c64635
1514b5761c
hexd6a09c7

225053127 has 32 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 138140640.

The previous prime is 225053117. The next prime is 225053131. The reversal of 225053127 is 721350522.

225053127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225053127 - 28 = 225052871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 225053127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225053117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226602 + ... + 227592.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2225053127 is an apocalyptic number.

225053127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

225053127 is a deficient number, since it is larger than the sum of its proper divisors (134923833).

225053127 is a wasteful number, since it uses less digits than its factorization.

225053127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 225053127 is about 15001.7707954761. The cubic root of 225053127 is about 608.2680667746.

The spelling of 225053127 in words is "two hundred twenty-five million, fifty-three thousand, one hundred twenty-seven".

Divisors: 1 3 9 13 27 39 117 351 647 991 1941 2973 5823 8411 8919 12883 17469 25233 26757 38649 75699 115947 227097 347841 641177 1923531 5770593 8335301 17311779 25005903 75017709 225053127