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132224422231 = 1161721439091
BaseRepresentation
bin111101100100100110…
…0001001000101010111
3110122021221120121021101
41323021030021011113
54131243423002411
6140424300130531
712360434021236
oct1731114110527
9418257517241
10132224422231
115109226a510
1221761836a47
13c6129a73c5
146584aa2b1d
15368d2a68c1
hex1ec9309157

132224422231 has 16 divisors (see below), whose sum is σ = 144561927168. Its totient is φ = 119940004800.

The previous prime is 132224422193. The next prime is 132224422259.

132224422231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132224422231 - 215 = 132224389463 is a prime.

It is a super-2 number, since 2×1322244222312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132224422231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132224402231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14539996 + ... + 14549086.

It is an arithmetic number, because the mean of its divisors is an integer number (9035120448).

Almost surely, 2132224422231 is an apocalyptic number.

132224422231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132224422231 is a deficient number, since it is larger than the sum of its proper divisors (12337504937).

132224422231 is a wasteful number, since it uses less digits than its factorization.

132224422231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11862.

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 132224 and 422231, that added together give a palindrome (554455).

The spelling of 132224422231 in words is "one hundred thirty-two billion, two hundred twenty-four million, four hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 617 2143 6787 9091 23573 100001 1322231 5609147 14544541 19482013 61700617 214302143 12020402021 132224422231