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221132330312 = 23172323073673
BaseRepresentation
bin1100110111110010000…
…0111001010101001000
3210010210002111021220212
43031330200321111020
512110334334032222
6245330425140252
721655602536315
oct3157440712510
9703702437825
10221132330312
11858664877a3
1236a3492a688
1317b1148733a
14a9ba91dd0c
155b438106e2
hex337c839548

221132330312 has 48 divisors (see below), whose sum is σ = 458930264940. Its totient is φ = 99537794048.

The previous prime is 221132330297. The next prime is 221132330317. The reversal of 221132330312 is 213033231122.

221132330312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 212489653156 + 8642677156 = 460966^2 + 92966^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (221132330317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1464893 + ... + 1608780.

Almost surely, 2221132330312 is an apocalyptic number.

It is an amenable number.

221132330312 is an abundant number, since it is smaller than the sum of its proper divisors (237797934628).

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

221132330312 is a wasteful number, since it uses less digits than its factorization.

221132330312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073742 (or 3073715 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 221132330312 its reverse (213033231122), we get a palindrome (434165561434).

The spelling of 221132330312 in words is "two hundred twenty-one billion, one hundred thirty-two million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 391 529 782 1058 1564 2116 3128 4232 8993 17986 35972 71944 3073673 6147346 12294692 24589384 52252441 70694479 104504882 141388958 209009764 282777916 418019528 565555832 1201806143 1625973017 2403612286 3251946034 4807224572 6503892068 9614449144 13007784136 27641541289 55283082578 110566165156 221132330312