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2993328225 = 3252311812371
BaseRepresentation
bin1011001001101010…
…1001000001100001
321201121110211101100
42302122221001201
522112243000400
61213005225013
7134114604306
oct26232510141
97647424340
102993328225
1112a6723888
126b6562169
133891b9844
1420578b0ad
15127bc7100
hexb26a9061

2993328225 has 72 divisors (see below), whose sum is σ = 5567254784. Its totient is φ = 1535760000.

The previous prime is 2993328181. The next prime is 2993328241. The reversal of 2993328225 is 5228233992.

2993328225 is a `hidden beast` number, since 2 + 99 + 332 + 8 + 225 = 666.

It is not a de Polignac number, because 2993328225 - 26 = 2993328161 is a prime.

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

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 71 ways as a sum of consecutive naturals, for example, 1261290 + ... + 1263660.

Almost surely, 22993328225 is an apocalyptic number.

2993328225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2993328225 is a deficient number, since it is larger than the sum of its proper divisors (2573926559).

2993328225 is a wasteful number, since it uses less digits than its factorization.

2993328225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2591 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2993328225 is about 54711.3171565079. The cubic root of 2993328225 is about 1441.1796251305.

The spelling of 2993328225 in words is "two billion, nine hundred ninety-three million, three hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 181 225 279 465 543 775 905 1395 1629 2325 2371 2715 4525 5611 6975 7113 8145 11855 13575 16833 21339 28055 35565 40725 50499 59275 73501 84165 106695 140275 177825 220503 252495 367505 420825 429151 533475 661509 1102515 1262475 1287453 1837525 2145755 3307545 3862359 5512575 6437265 10728775 13303681 16537725 19311795 32186325 39911043 66518405 96558975 119733129 199555215 332592025 598665645 997776075 2993328225