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6466572225 = 345217872
BaseRepresentation
bin1100000010111000…
…00000111111000001
3121200122222220110000
412001130000333001
5101220420302400
62545401030213
7316150646151
oct60134007701
917618886400
106466572225
112819236473
121305785369
137c09488c9
14454b82761
1527ca9b600
hex181700fc1

6466572225 has 45 divisors (see below), whose sum is σ = 11985033907. Its totient is φ = 3446908560.

The previous prime is 6466572173. The next prime is 6466572227. The reversal of 6466572225 is 5222756646.

The square root of 6466572225 is 80415.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2327966001 + 4138606224 = 48249^2 + 64332^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 6466572225 - 217 = 6466441153 is a prime.

It is a super-2 number, since 2×64665722252 = 83633112682282901250, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6466572227) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 3617782 + ... + 3619568.

Almost surely, 26466572225 is an apocalyptic number.

6466572225 is the 80415-th square number.

6466572225 is the 40208-th centered octagonal number.

It is an amenable number.

6466572225 is a deficient number, since it is larger than the sum of its proper divisors (5518461682).

6466572225 is an frugal number, since it uses more digits than its factorization.

6466572225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 1795 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The cubic root of 6466572225 is about 1863.0508593862.

The spelling of 6466572225 in words is "six billion, four hundred sixty-six million, five hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1787 2025 5361 8935 16083 26805 44675 48249 80415 134025 144747 241245 402075 723735 1206225 3193369 3618675 9580107 15966845 28740321 47900535 79834225 86220963 143701605 239502675 258662889 431104815 718508025 1293314445 2155524075 6466572225