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232221125 = 53292472
BaseRepresentation
bin11011101011101…
…10100111000101
3121011222001111102
431311312213011
5433422034000
635013145445
75516563343
oct1565664705
9534861442
10232221125
1110a0a0194
126592b285
1339159266
1422bac993
15155c13d5
hexdd769c5

232221125 has 36 divisors (see below), whose sum is σ = 306672132. Its totient is φ = 175554400.

The previous prime is 232221107. The next prime is 232221149. The reversal of 232221125 is 521122232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 69989956 + 162231169 = 8366^2 + 12737^2 .

It is not a de Polignac number, because 232221125 - 26 = 232221061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232221097 and 232221106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4940852 + ... + 4940898.

Almost surely, 2232221125 is an apocalyptic number.

232221125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232221125 is a deficient number, since it is larger than the sum of its proper divisors (74451007).

232221125 is an frugal number, since it uses more digits than its factorization.

232221125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 81 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 232221125 is about 15238.8032666611. The cubic root of 232221125 is about 614.6585232786.

Multiplying 232221125 by its sum of digits (20), we get a square (4644422500 = 681502).

Adding to 232221125 its reverse (521122232), we get a palindrome (753343357).

The spelling of 232221125 in words is "two hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 29 47 125 145 235 725 841 1175 1363 2209 3625 4205 5875 6815 11045 21025 34075 39527 55225 64061 105125 170375 197635 276125 320305 988175 1601525 1857769 4940875 8007625 9288845 46444225 232221125