Search a number
-
+
204232234024 = 23721340076969
BaseRepresentation
bin1011111000110100110…
…0001001010000101000
3201112011021222110010201
42332031030021100220
511321231422442044
6233453433321544
720520031226500
oct2761514112050
9645137873121
10204232234024
1179683854275
12336b8b662b4
131634a0a2970
149c56208a00
1554a4cbe7d4
hex2f8d309428

204232234024 has 48 divisors (see below), whose sum is σ = 479721330900. Its totient is φ = 80795167488.

The previous prime is 204232234021. The next prime is 204232234049. The reversal of 204232234024 is 420432232402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 201796811524 + 2435422500 = 449218^2 + 49350^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 204232233983 and 204232234001.

It is not an unprimeable number, because it can be changed into a prime (204232234021) 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, 20033389 + ... + 20043580.

Almost surely, 2204232234024 is an apocalyptic number.

It is an amenable number.

204232234024 is an abundant number, since it is smaller than the sum of its proper divisors (275489096876).

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

204232234024 is a wasteful number, since it uses less digits than its factorization.

204232234024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40077002 (or 40076991 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 204232234024 its reverse (420432232402), we get a palindrome (624664466426).

The spelling of 204232234024 in words is "two hundred four billion, two hundred thirty-two million, two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 40076969 80153938 160307876 280538783 320615752 521000597 561077566 1042001194 1122155132 1963771481 2084002388 2244310264 3647004179 3927542962 4168004776 7294008358 7855085924 14588016716 15710171848 25529029253 29176033432 51058058506 102116117012 204232234024