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2384507314225 = 5247265712
BaseRepresentation
bin100010101100101111101…
…101100010000000110001
322102221211102012020110001
4202230233231202000301
5303031432333023400
65023232203110001
7334163212515001
oct42545755420061
98387742166401
102384507314225
1183a29a240043
12326172812301
13143b2026280a
14835a721c001
154205e6e0a6a
hex22b2fb62031

2384507314225 has 27 divisors (see below), whose sum is σ = 3021497817771. Its totient is φ = 1866734362800.

The previous prime is 2384507314223. The next prime is 2384507314237. The reversal of 2384507314225 is 5224137054832.

It is a happy number.

The square root of 2384507314225 is 1544185.

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., 858422633121 + 1526084681104 = 926511^2 + 1235348^2 .

It is not a de Polignac number, because 2384507314225 - 21 = 2384507314223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2384507314223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 362880190 + ... + 362886760.

Almost surely, 22384507314225 is an apocalyptic number.

2384507314225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2384507314225 is the 1544185-th square number.

2384507314225 is the 772093-rd centered octagonal number.

It is an amenable number.

2384507314225 is a deficient number, since it is larger than the sum of its proper divisors (636990503546).

2384507314225 is an frugal number, since it uses more digits than its factorization.

2384507314225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13246 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 2384507314225 in words is "two trillion, three hundred eighty-four billion, five hundred seven million, three hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 25 47 235 1175 2209 6571 11045 32855 55225 164275 308837 1544185 7720925 14515339 43178041 72576695 215890205 362883475 1079451025 2029367927 10146839635 50734198175 95380292569 476901462845 2384507314225