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132224430 = 235131971721
BaseRepresentation
bin1111110000110…
…01010110101110
3100012210200211010
413320121112232
5232322140210
621042010050
73163613652
oct770312656
9305720733
10132224430
1168701198
1238346926
1321517110
14137bca62
15b91c920
hex7e195ae

132224430 has 64 divisors (see below), whose sum is σ = 343683648. Its totient is φ = 32363520.

The previous prime is 132224387. The next prime is 132224431. The reversal of 132224430 is 34422231.

It is a junction number, because it is equal to n+sod(n) for n = 132224397 and 132224406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132224431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75970 + ... + 77690.

It is an arithmetic number, because the mean of its divisors is an integer number (5370057).

Almost surely, 2132224430 is an apocalyptic number.

132224430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132224430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171841824).

132224430 is an abundant number, since it is smaller than the sum of its proper divisors (211459218).

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

132224430 is a wasteful number, since it uses less digits than its factorization.

132224430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 132224430 is about 11498.8882071268. Note that the first 3 decimals coincide. The cubic root of 132224430 is about 509.4527386089.

Adding to 132224430 its reverse (34422231), we get a palindrome (166646661).

It can be divided in two parts, 1322 and 24430, that added together give a palindrome (25752).

The spelling of 132224430 in words is "one hundred thirty-two million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 197 390 394 591 985 1182 1721 1970 2561 2955 3442 5122 5163 5910 7683 8605 10326 12805 15366 17210 22373 25610 25815 38415 44746 51630 67119 76830 111865 134238 223730 335595 339037 671190 678074 1017111 1695185 2034222 3390370 4407481 5085555 8814962 10171110 13222443 22037405 26444886 44074810 66112215 132224430