Search a number
-
+
32201225809 = 31125772
BaseRepresentation
bin11101111111010101…
…111011011001010001
310002010011021202111221
4131333111323121101
51011422003211214
622443144005041
72216655621544
oct357725733121
9102104252457
1032201225809
1112724830615
1262a8160781
13306243568c
1417b692485b
15c86ed8e24
hex77f57b651

32201225809 has 9 divisors (see below), whose sum is σ = 32361184731. Its totient is φ = 32042056320.

The previous prime is 32201225753. The next prime is 32201225827. The reversal of 32201225809 is 90852210223.

The square root of 32201225809 is 179447.

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., 31978380625 + 222845184 = 178825^2 + 14928^2 .

It is not a de Polignac number, because 32201225809 - 215 = 32201193041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32201235809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55807729 + ... + 55808305.

Almost surely, 232201225809 is an apocalyptic number.

32201225809 is the 179447-th square number.

32201225809 is the 89724-th centered octagonal number.

It is an amenable number.

32201225809 is a deficient number, since it is larger than the sum of its proper divisors (159958922).

32201225809 is an frugal number, since it uses more digits than its factorization.

32201225809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 32201225809 in words is "thirty-two billion, two hundred one million, two hundred twenty-five thousand, eight hundred nine".

Divisors: 1 311 577 96721 179447 332929 55808017 103540919 32201225809