Search a number
-
+
432225222 = 231113292599
BaseRepresentation
bin11001110000110…
…011101111000110
31010010022022112120
4121300303233012
51341122201342
6110520030410
713465565562
oct3160635706
91103268476
10432225222
11201a86230
12100902406
136b715390
14415926a2
1527e2baec
hex19c33bc6

432225222 has 96 divisors (see below), whose sum is σ = 1053561600. Its totient is φ = 116538240.

The previous prime is 432225197. The next prime is 432225257. The reversal of 432225222 is 222522234.

It is a junction number, because it is equal to n+sod(n) for n = 432225192 and 432225201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721279 + ... + 721877.

It is an arithmetic number, because the mean of its divisors is an integer number (10974600).

Almost surely, 2432225222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432225222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526780800).

432225222 is an abundant number, since it is smaller than the sum of its proper divisors (621336378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432225222 is a wasteful number, since it uses less digits than its factorization.

432225222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 657 counting only the distinct ones).

The product of its digits is 3840, while the sum is 24.

The square root of 432225222 is about 20790.0269841095. The cubic root of 432225222 is about 756.0839783814.

Adding to 432225222 its reverse (222522234), we get a palindrome (654747456).

The spelling of 432225222 in words is "four hundred thirty-two million, two hundred twenty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 377 429 599 638 754 841 858 957 1131 1198 1682 1797 1914 2262 2523 3594 4147 5046 6589 7787 8294 9251 10933 12441 13178 15574 17371 18502 19767 21866 23361 24882 27753 32799 34742 39534 46722 52113 55506 65598 85657 104226 120263 171314 191081 225823 240526 256971 360789 382162 451646 503759 513942 573243 677469 721578 1007518 1146486 1354938 1511277 2484053 3022554 4968106 5541349 6548867 7452159 11082698 13097734 14904318 16624047 19646601 33248094 39293202 72037537 144075074 216112611 432225222