Search a number
-
+
232593001 = 10121512
BaseRepresentation
bin11011101110100…
…01011001101001
3121012122221121121
431313101121221
5434020434001
635025135241
75523002464
oct1567213151
9535587547
10232593001
1110a324623
1265a8a521
13392595c4
1422c682db
15156466a1
hexddd1669

232593001 has 9 divisors (see below), whose sum is σ = 236484759. Its totient is φ = 228765000.

The previous prime is 232592993. The next prime is 232593017. The reversal of 232593001 is 100395232.

It is a happy number.

The square root of 232593001 is 15251.

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., 223472601 + 9120400 = 14949^2 + 3020^2 .

It is not a de Polignac number, because 232593001 - 23 = 232592993 is a prime.

It is a super-2 number, since 2×2325930012 = 108199008228372002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232594001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1540276 + ... + 1540426.

Almost surely, 2232593001 is an apocalyptic number.

232593001 is the 15251-st square number.

232593001 is the 7626-th centered octagonal number.

It is an amenable number.

232593001 is a deficient number, since it is larger than the sum of its proper divisors (3891758).

232593001 is an frugal number, since it uses more digits than its factorization.

232593001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The cubic root of 232593001 is about 614.9864504473.

Multiplying 232593001 by its sum of digits (25), we get a square (5814825025 = 762552).

The spelling of 232593001 in words is "two hundred thirty-two million, five hundred ninety-three thousand, one".

Divisors: 1 101 151 10201 15251 22801 1540351 2302901 232593001