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2142231132 = 2231723456571
BaseRepresentation
bin111111110101111…
…1101101001011100
312112021222121122210
41333223331221130
513341402344012
6552323240420
7104041443546
oct17753755134
95467877583
102142231132
119aa262a58
124b9519110
13281a860b2
14164720696
15c810a23c
hex7fafda5c

2142231132 has 48 divisors (see below), whose sum is σ = 5522694912. Its totient is φ = 642850560.

The previous prime is 2142231101. The next prime is 2142231137. The reversal of 2142231132 is 2311322412.

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

It is a junction number, because it is equal to n+sod(n) for n = 2142231099 and 2142231108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142231137) 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, 223594 + ... + 232977.

It is an arithmetic number, because the mean of its divisors is an integer number (115056144).

Almost surely, 22142231132 is an apocalyptic number.

It is an amenable number.

2142231132 is an abundant number, since it is smaller than the sum of its proper divisors (3380463780).

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

2142231132 is a wasteful number, since it uses less digits than its factorization.

2142231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456618 (or 456616 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2142231132 is about 46284.2428046522. The cubic root of 2142231132 is about 1289.1064324383.

Adding to 2142231132 its reverse (2311322412), we get a palindrome (4453553544).

The spelling of 2142231132 in words is "two billion, one hundred forty-two million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 456571 913142 1369713 1826284 2739426 5478852 7761707 10501133 15523414 21002266 23285121 31046828 31503399 42004532 46570242 63006798 93140484 126013596 178519261 357038522 535557783 714077044 1071115566 2142231132