Search a number
-
+
270232585921 = 3124124092
BaseRepresentation
bin1111101110101100011…
…1100000011011000001
3221211111222021201021101
43323223013200123001
513411414020222141
6324050530054401
725344421036504
oct3735307403301
9854458251241
10270232585921
11a4672282541
124445841a401
131c6379bcb1c
14d11795d13b
1570691c9531
hex3eeb1e06c1

270232585921 has 27 divisors (see below), whose sum is σ = 286909071849. Its totient is φ = 254513174400.

The previous prime is 270232585891. The next prime is 270232585991. The reversal of 270232585921 is 129585232072.

The square root of 270232585921 is 519839.

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 1576963521 + 268655622400 = 39711^2 + 518320^2 .

It is not a de Polignac number, because 270232585921 - 27 = 270232585793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (270232585991) 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, 660715165 + ... + 660715573.

Almost surely, 2270232585921 is an apocalyptic number.

270232585921 is the 519839-th square number.

270232585921 is the 259920-th centered octagonal number.

It is an amenable number.

270232585921 is a deficient number, since it is larger than the sum of its proper divisors (16676485928).

270232585921 is an frugal number, since it uses more digits than its factorization.

270232585921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 270232585921 in words is "two hundred seventy billion, two hundred thirty-two million, five hundred eighty-five thousand, nine hundred twenty-one".

Divisors: 1 31 41 409 961 1271 1681 12679 16769 39401 52111 167281 393049 519839 687529 1615441 5185711 6858521 16115009 21313399 160757041 212614151 281199361 660715369 6591038681 8717180191 270232585921