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2145405236 = 22131710124029
BaseRepresentation
bin111111111100000…
…0100100100110100
312112111221212201012
41333320010210310
513343210431421
6552515251352
7104110433522
oct17770044464
95474855635
102145405236
11a01030787
124ba5a9b58
13282627a70
14164d09312
15c853595b
hex7fe04934

2145405236 has 48 divisors (see below), whose sum is σ = 4323669840. Its totient is φ = 922675200.

The previous prime is 2145405233. The next prime is 2145405271. The reversal of 2145405236 is 6325045412.

It can be written as a sum of positive squares in 8 ways, for example, as 734952100 + 1410453136 = 27110^2 + 37556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145405233) 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, 77270 + ... + 101298.

It is an arithmetic number, because the mean of its divisors is an integer number (90076455).

Almost surely, 22145405236 is an apocalyptic number.

2145405236 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2145405236 is an abundant number, since it is smaller than the sum of its proper divisors (2178264604).

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

2145405236 is a wasteful number, since it uses less digits than its factorization.

2145405236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24164 (or 24162 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2145405236 is about 46318.5193632094. The cubic root of 2145405236 is about 1289.7427999137.

The spelling of 2145405236 in words is "two billion, one hundred forty-five million, four hundred five thousand, two hundred thirty-six".

Divisors: 1 2 4 13 17 26 34 52 68 101 202 221 404 442 884 1313 1717 2626 3434 5252 6868 22321 24029 44642 48058 89284 96116 312377 408493 624754 816986 1249508 1633972 2426929 4853858 5310409 9707716 10620818 21241636 31550077 41257793 63100154 82515586 126200308 165031172 536351309 1072702618 2145405236