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2252104164 = 2232229273181
BaseRepresentation
bin1000011000111100…
…0110000111100100
312210221201202010100
42012033012013210
514103014313124
61011250224100
7106544366232
oct20617060744
95727652110
102252104164
11a56288212
1252a285030
1329b77571b
14175161952
15d2ab01c9
hex863c61e4

2252104164 has 36 divisors (see below), whose sum is σ = 5717699260. Its totient is φ = 747420480.

The previous prime is 2252104117. The next prime is 2252104187. The reversal of 2252104164 is 4614012522.

2252104164 is a `hidden beast` number, since 225 + 21 + 0 + 416 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1467656100 + 784448064 = 38310^2 + 28008^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22521041642 = 10143946331012277792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128347 + ... + 144834.

Almost surely, 22252104164 is an apocalyptic number.

It is an amenable number.

2252104164 is an abundant number, since it is smaller than the sum of its proper divisors (3465595096).

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

2252104164 is a wasteful number, since it uses less digits than its factorization.

2252104164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273420 (or 273415 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2252104164 is about 47456.3395554272. The cubic root of 2252104164 is about 1310.7790490728.

Adding to 2252104164 its reverse (4614012522), we get a palindrome (6866116686).

The spelling of 2252104164 in words is "two billion, two hundred fifty-two million, one hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 273181 546362 819543 1092724 1639086 2458629 3278172 4917258 9834516 62558449 125116898 187675347 250233796 375350694 563026041 750701388 1126052082 2252104164