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132223212 = 223311176547
BaseRepresentation
bin1111110000110…
…01000011101100
3100012210122011000
413320121003230
5232322120322
621042000300
73163610262
oct770310354
9305718130
10132223212
1168700290
1238346090
13215166b4
14137bc432
15b91c3ac
hex7e190ec

132223212 has 96 divisors (see below), whose sum is σ = 396023040. Its totient is φ = 37704960.

The previous prime is 132223211. The next prime is 132223219. The reversal of 132223212 is 212322231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132223211) 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, 16923 + ... + 23469.

It is an arithmetic number, because the mean of its divisors is an integer number (4125240).

Almost surely, 2132223212 is an apocalyptic number.

132223212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198011520).

132223212 is an abundant number, since it is smaller than the sum of its proper divisors (263799828).

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

132223212 is a wasteful number, since it uses less digits than its factorization.

132223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6580 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 132223212 is about 11498.8352453629. The cubic root of 132223212 is about 509.4511743106.

Adding to 132223212 its reverse (212322231), we get a palindrome (344545443).

The spelling of 132223212 in words is "one hundred thirty-two million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6547 6732 10098 13094 19641 20196 26188 39282 58923 72017 78564 111299 117846 144034 176769 216051 222598 235692 288068 333897 353538 432102 445196 648153 667794 707076 864204 1001691 1224289 1296306 1335588 1944459 2003382 2448578 2592612 3005073 3672867 3888918 4006764 4897156 6010146 7345734 7777836 11018601 12020292 14691468 22037202 33055803 44074404 66111606 132223212