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2145302149225 = 5245726412
BaseRepresentation
bin11111001101111101111…
…110001111100001101001
321121002101210110211002111
4133031331332033201221
5240122034322233400
64321312130202321
7310664405252254
oct37157576174151
97532353424074
102145302149225
117578aa154134
122a79354233a1
131273bb756071
1475b9435209b
153ac0e43b3ba
hex1f37df8f869

2145302149225 has 27 divisors (see below), whose sum is σ = 2670173981391. Its totient is φ = 1709814681600.

The previous prime is 2145302149223. The next prime is 2145302149271. The reversal of 2145302149225 is 5229412035412.

It is a happy number.

The square root of 2145302149225 is 1464685.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5412986329 + 2139889162896 = 73573^2 + 1462836^2 .

It is not a de Polignac number, because 2145302149225 - 21 = 2145302149223 is a prime.

It is a super-2 number, since 2×21453021492252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2145302149223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3346804905 + ... + 3346805545.

Almost surely, 22145302149225 is an apocalyptic number.

2145302149225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2145302149225 is the 1464685-th square number.

2145302149225 is the 732343-rd centered octagonal number.

It is an amenable number.

2145302149225 is a deficient number, since it is larger than the sum of its proper divisors (524871832166).

2145302149225 is an frugal number, since it uses more digits than its factorization.

2145302149225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 2145302149225 in words is "two trillion, one hundred forty-five billion, three hundred two million, one hundred forty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 457 641 2285 3205 11425 16025 208849 292937 410881 1044245 1464685 2054405 5221225 7323425 10272025 133872209 187772617 669361045 938863085 3346805225 4694315425 85812085969 429060429845 2145302149225