Search a number
-
+
2040223032 = 233379119563
BaseRepresentation
bin111100110011011…
…0101010100111000
312021012001001212000
41321212311110320
513134244114112
6534241021000
7101362416051
oct17146652470
95235031760
102040223032
1195771a841
1248b324760
132668bb583
14154d69728
15be1aa7dc
hex799b5538

2040223032 has 64 divisors (see below), whose sum is σ = 5739072000. Its totient is φ = 671460192.

The previous prime is 2040222991. The next prime is 2040223037. The reversal of 2040223032 is 2303220402.

2040223032 is a `hidden beast` number, since 2 + 0 + 402 + 230 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2040222996 and 2040223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040223037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42718 + ... + 76845.

It is an arithmetic number, because the mean of its divisors is an integer number (89673000).

Almost surely, 22040223032 is an apocalyptic number.

It is an amenable number.

2040223032 is an abundant number, since it is smaller than the sum of its proper divisors (3698848968).

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

2040223032 is a wasteful number, since it uses less digits than its factorization.

2040223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119657 (or 119647 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2040223032 is about 45168.8281008042. The cubic root of 2040223032 is about 1268.3113589533.

Adding to 2040223032 its reverse (2303220402), we get a palindrome (4343443434).

It can be divided in two parts, 20402 and 23032, that added together give a palindrome (43434).

The spelling of 2040223032 in words is "two billion, forty million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1422 1896 2133 2844 4266 5688 8532 17064 119563 239126 358689 478252 717378 956504 1076067 1434756 2152134 2869512 3228201 4304268 6456402 8608536 9445477 12912804 18890954 25825608 28336431 37781908 56672862 75563816 85009293 113345724 170018586 226691448 255027879 340037172 510055758 680074344 1020111516 2040223032