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221340132 = 2232132320563
BaseRepresentation
bin11010011000101…
…10000111100100
3120102111020120200
431030112013210
5423130341012
633544030500
75325234336
oct1514260744
9512436520
10221340132
11103a39132
1262162430
1336b196c0
1421579456
15146723dc
hexd3161e4

221340132 has 72 divisors (see below), whose sum is σ = 628764864. Its totient is φ = 65140416.

The previous prime is 221340131. The next prime is 221340143. The reversal of 221340132 is 231043122.

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

It is not an unprimeable number, because it can be changed into a prime (221340131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483 + ... + 21045.

Almost surely, 2221340132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221340132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314382432).

221340132 is an abundant number, since it is smaller than the sum of its proper divisors (407424732).

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

221340132 is a wasteful number, since it uses less digits than its factorization.

221340132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20609 (or 20604 counting only the distinct ones).

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

The square root of 221340132 is about 14877.5042261799. The cubic root of 221340132 is about 604.9043693758.

Adding to 221340132 its reverse (231043122), we get a palindrome (452383254).

The spelling of 221340132 in words is "two hundred twenty-one million, three hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 20563 41126 61689 82252 123378 185067 246756 267319 370134 472949 534638 740268 801957 945898 1069276 1418847 1603914 1891796 2405871 2837694 3207828 4256541 4811742 5675388 6148337 8513082 9623484 12296674 17026164 18445011 24593348 36890022 55335033 73780044 110670066 221340132