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132222423114 = 236313728909
BaseRepresentation
bin111101100100100010…
…0100001000001001010
3110122021210211001000000
41323021010201001022
54131242420014424
6140424145223430
712360411024015
oct1731104410112
9418253731000
10132222423114
1151091124551
1221761031b76
13c6124574b2
14658470237c
15368d00e3c9
hex1ec912104a

132222423114 has 56 divisors (see below), whose sum is σ = 297469502820. Its totient is φ = 44058567168.

The previous prime is 132222423089. The next prime is 132222423173. The reversal of 132222423114 is 411324222231.

132222423114 is a `hidden beast` number, since 1 + 3 + 2 + 222 + 423 + 1 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70801227225 + 61421195889 = 266085^2 + 247833^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4559292 + ... + 4588200.

Almost surely, 2132222423114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132222423114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148734751410).

132222423114 is an abundant number, since it is smaller than the sum of its proper divisors (165247079706).

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

132222423114 is an equidigital number, since it uses as much as digits as its factorization.

132222423114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32066 (or 32051 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 132222423114 its reverse (411324222231), we get a palindrome (543546645345).

The spelling of 132222423114 in words is "one hundred thirty-two billion, two hundred twenty-two million, four hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 3137 6274 9411 18822 28233 28909 56466 57818 84699 86727 169398 173454 254097 260181 508194 520362 762291 780543 1524582 1561086 2286873 2341629 4573746 4683258 7024887 14049774 21074661 42149322 90687533 181375066 272062599 544125198 816187797 1632375594 2448563391 4897126782 7345690173 14691380346 22037070519 44074141038 66111211557 132222423114