Search a number
-
+
332023230132200 = 23524140490637821
BaseRepresentation
bin100101101111110010010111…
…0101100000110111111101000
31121112121002222210002011220222
41023133210232230012333220
5322004332033403212300
63134053211034505212
7126635613106430315
oct11337445654067750
91545532883064828
10332023230132200
119687a296644522
12312a43abb95208
131133586ba41a89
145bdc01d947d0c
15285ba45c32785
hex12df92eb06fe8

332023230132200 has 48 divisors (see below), whose sum is σ = 790782156663660. Its totient is φ = 129570041024000.

The previous prime is 332023230132193. The next prime is 332023230132203. The reversal of 332023230132200 is 2231032320233.

It can be written as a sum of positive squares in 6 ways, for example, as 111218073816004 + 220805156316196 = 10545998^2 + 14859514^2 .

It is a super-2 number, since 2×3320232301322002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332023230132200.

It is not an unprimeable number, because it can be changed into a prime (332023230132203) 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, 20245310711 + ... + 20245327110.

Almost surely, 2332023230132200 is an apocalyptic number.

It is an amenable number.

332023230132200 is an abundant number, since it is smaller than the sum of its proper divisors (458758926531460).

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

332023230132200 is a wasteful number, since it uses less digits than its factorization.

332023230132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40490637878 (or 40490637869 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 332023230132200 its reverse (2231032320233), we get a palindrome (334254262452433).

The spelling of 332023230132200 in words is "three hundred thirty-two trillion, twenty-three billion, two hundred thirty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 40490637821 80981275642 161962551284 202453189105 323925102568 404906378210 809812756420 1012265945525 1619625512840 1660116150661 2024531891050 3320232301322 4049063782100 6640464602644 8098127564200 8300580753305 13280929205288 16601161506610 33202323013220 41502903766525 66404646026440 83005807533050 166011615066100 332023230132200