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993225 = 352171941
BaseRepresentation
bin11110010011111001001
31212110110010
43302133021
5223240400
633142133
711304462
oct3623711
91773403
10993225
11619252
123ba949
1328a10c
141bbd69
15149450
hexf27c9

993225 has 48 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 460800.

The previous prime is 993217. The next prime is 993233. The reversal of 993225 is 522399.

It is an interprime number because it is at equal distance from previous prime (993217) and next prime (993233).

It is not a de Polignac number, because 993225 - 23 = 993217 is a prime.

Its product of digits (4860) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 993192 and 993201.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993225.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24205 + ... + 24245.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2993225 is an apocalyptic number.

993225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

993225 is a deficient number, since it is larger than the sum of its proper divisors (881655).

993225 is a wasteful number, since it uses less digits than its factorization.

993225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 993225 is about 996.6067429031. The cubic root of 993225 is about 99.7736547314.

The spelling of 993225 in words is "nine hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 19 25 41 51 57 75 85 95 123 205 255 285 323 425 475 615 697 779 969 1025 1275 1425 1615 2091 2337 3075 3485 3895 4845 8075 10455 11685 13243 17425 19475 24225 39729 52275 58425 66215 198645 331075 993225