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2185936516 = 229722412
BaseRepresentation
bin1000001001001010…
…1011111010000100
312122100020002011201
42002102223322010
513434044432031
61000524112244
7105112103521
oct20222537204
95570202151
102185936516
11a219a4505
12510095684
1328ab4937a
1416a45a148
15cbd8ed61
hex824abe84

2185936516 has 27 divisors (see below), whose sum is σ = 3881337327. Its totient is φ = 1077212160.

The previous prime is 2185936513. The next prime is 2185936531. The reversal of 2185936516 is 6156395812.

The square root of 2185936516 is 46754.

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

It can be written as a sum of positive squares in 4 ways, for example, as 97812100 + 2088124416 = 9890^2 + 45696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2185936513) 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 8 ways as a sum of consecutive naturals, for example, 9070156 + ... + 9070396.

Almost surely, 22185936516 is an apocalyptic number.

2185936516 is the 46754-th square number.

It is an amenable number.

2185936516 is a deficient number, since it is larger than the sum of its proper divisors (1695400811).

2185936516 is an frugal number, since it uses more digits than its factorization.

2185936516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 340 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The cubic root of 2185936516 is about 1297.8141800768.

The spelling of 2185936516 in words is "two billion, one hundred eighty-five million, nine hundred thirty-six thousand, five hundred sixteen".

Divisors: 1 2 4 97 194 241 388 482 964 9409 18818 23377 37636 46754 58081 93508 116162 232324 2267569 4535138 5633857 9070276 11267714 22535428 546484129 1092968258 2185936516