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30788225 = 5213611553
BaseRepresentation
bin111010101110…
…0101010000001
32010221012111122
41311130222001
530340210400
63015522025
7522460406
oct165345201
963835448
1030788225
1116419716
12a389315
1364bc9b0
1441362ad
152a82685
hex1d5ca81

30788225 has 24 divisors (see below), whose sum is σ = 41815032. Its totient is φ = 22348800.

The previous prime is 30788213. The next prime is 30788267. The reversal of 30788225 is 52288703.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 27952369 + 2835856 = 5287^2 + 1684^2 .

It is not a de Polignac number, because 30788225 - 24 = 30788209 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19049 + ... + 20601.

It is an arithmetic number, because the mean of its divisors is an integer number (1742293).

Almost surely, 230788225 is an apocalyptic number.

It is an amenable number.

30788225 is a deficient number, since it is larger than the sum of its proper divisors (11026807).

30788225 is a wasteful number, since it uses less digits than its factorization.

30788225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 30788225 is about 5548.7138149304. The cubic root of 30788225 is about 313.4210904284.

It can be divided in two parts, 30788 and 225, that added together give a palindrome (31013).

The spelling of 30788225 in words is "thirty million, seven hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 13 25 61 65 305 325 793 1525 1553 3965 7765 19825 20189 38825 94733 100945 473665 504725 1231529 2368325 6157645 30788225