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2005453233225 = 335213228541679
BaseRepresentation
bin11101001011101110010…
…100111101110001001001
321002201102111001210122000
4131023232110331301021
5230324132011430400
64133143102421213
7264614000136141
oct35135624756111
97081374053560
102005453233225
11703565082702
12284806291809
131171622824b0
146d0c8c11921
1537276b10600
hex1d2ee53dc49

2005453233225 has 48 divisors (see below), whose sum is σ = 3967483564800. Its totient is φ = 987300048960.

The previous prime is 2005453233101. The next prime is 2005453233229. The reversal of 2005453233225 is 5223323545002.

2005453233225 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 4 + 5 + 323 + 322 + 5 = 666.

It is not a de Polignac number, because 2005453233225 - 28 = 2005453232969 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005453233225.

It is not an unprimeable number, because it can be changed into a prime (2005453233229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114262065 + ... + 114279614.

It is an arithmetic number, because the mean of its divisors is an integer number (82655907600).

Almost surely, 22005453233225 is an apocalyptic number.

2005453233225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005453233225 is a deficient number, since it is larger than the sum of its proper divisors (1962030331575).

2005453233225 is a wasteful number, since it uses less digits than its factorization.

2005453233225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228541711 (or 228541700 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 2005453233225 its reverse (5223323545002), we get a palindrome (7228776778227).

The spelling of 2005453233225 in words is "two trillion, five billion, four hundred fifty-three million, two hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 325 351 585 675 975 1755 2925 8775 228541679 685625037 1142708395 2056875111 2971041827 3428125185 5713541975 6170625333 8913125481 10284375555 14855209135 17140625925 26739376443 30853126665 44565627405 51421877775 74276045675 80218129329 133696882215 154265633325 222828137025 401090646645 668484411075 2005453233225