Search a number
-
+
22132322120 = 235553308053
BaseRepresentation
bin10100100111001100…
…000110111101001000
32010010102212110022002
4110213030012331020
5330311333301440
614100100250132
71412313430316
oct244714067510
963112773262
1022132322120
119428134207
1243580a0948
1321193a16bc
1410dd5870b6
1589806a115
hex527306f48

22132322120 has 16 divisors (see below), whose sum is σ = 49797724860. Its totient is φ = 8852928832.

The previous prime is 22132322119. The next prime is 22132322123. The reversal of 22132322120 is 2122323122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21145231396 + 987090724 = 145414^2 + 31418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22132322092 and 22132322101.

It is not an unprimeable number, because it can be changed into a prime (22132322123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276653987 + ... + 276654066.

Almost surely, 222132322120 is an apocalyptic number.

22132322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132322120 is an abundant number, since it is smaller than the sum of its proper divisors (27665402740).

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

22132322120 is a wasteful number, since it uses less digits than its factorization.

22132322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553308064 (or 553308060 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22132322120 its reverse (2122323122), we get a palindrome (24254645242).

The spelling of 22132322120 in words is "twenty-two billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 553308053 1106616106 2213232212 2766540265 4426464424 5533080530 11066161060 22132322120