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2152465032 = 233611818123
BaseRepresentation
bin1000000001001100…
…0000001010001000
312120000020112221010
42000103000022020
513402012340112
6553330443520
7104224436154
oct20023001210
95500215833
102152465032
11a05012923
12500a335a0
13283c2a263
14165c26064
15c8e7c63c
hex804c0288

2152465032 has 64 divisors (see below), whose sum is σ = 5500272960. Its totient is φ = 701740800.

The previous prime is 2152465031. The next prime is 2152465069. The reversal of 2152465032 is 2305642512.

It is a super-2 number, since 2×21524650322 = 9266211427965522048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2152465031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260923 + ... + 269045.

It is an arithmetic number, because the mean of its divisors is an integer number (85941765).

Almost surely, 22152465032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152465032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750136480).

2152465032 is an abundant number, since it is smaller than the sum of its proper divisors (3347807928).

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

2152465032 is a wasteful number, since it uses less digits than its factorization.

2152465032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2152465032 is about 46394.6659865119. The cubic root of 2152465032 is about 1291.1559520190.

The spelling of 2152465032 in words is "two billion, one hundred fifty-two million, four hundred sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 181 183 244 362 366 488 543 724 732 1086 1448 1464 2172 4344 8123 11041 16246 22082 24369 32492 33123 44164 48738 64984 66246 88328 97476 132492 194952 264984 495503 991006 1470263 1486509 1982012 2940526 2973018 3964024 4410789 5881052 5946036 8821578 11762104 11892072 17643156 35286312 89686043 179372086 269058129 358744172 538116258 717488344 1076232516 2152465032