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996225345 = 33567831327
BaseRepresentation
bin111011011000010…
…011000101000001
32120102120111021000
4323120103011001
54020013202340
6242504322213
733454530033
oct7330230501
92512514230
10996225345
11471385935
12239773369
1312b51806b
1496447c53
155c6d7d30
hex3b613141

996225345 has 64 divisors (see below), whose sum is σ = 1820528640. Its totient is φ = 516694464.

The previous prime is 996225337. The next prime is 996225361. The reversal of 996225345 is 543522699.

996225345 is a `hidden beast` number, since 9 + 96 + 22 + 534 + 5 = 666.

It is not a de Polignac number, because 996225345 - 23 = 996225337 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 996225345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 750072 + ... + 751398.

It is an arithmetic number, because the mean of its divisors is an integer number (28445760).

Almost surely, 2996225345 is an apocalyptic number.

It is an amenable number.

996225345 is a deficient number, since it is larger than the sum of its proper divisors (824303295).

996225345 is a wasteful number, since it uses less digits than its factorization.

996225345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 996225345 is about 31563.0376389853. The cubic root of 996225345 is about 998.7401952251.

The spelling of 996225345 in words is "nine hundred ninety-six million, two hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 67 83 135 201 249 335 415 603 747 1005 1245 1327 1809 2241 3015 3735 3981 5561 6635 9045 11205 11943 16683 19905 27805 35829 50049 59715 83415 88909 110141 150147 179145 250245 266727 330423 444545 550705 750735 800181 991269 1333635 1652115 2400543 2973807 4000905 4956345 7379447 12002715 14869035 22138341 36897235 66415023 110691705 199245069 332075115 996225345