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2153880232 = 237613371871
BaseRepresentation
bin1000000001100001…
…1001101010101000
312120002220110012221
42000120121222220
513402343131412
6553421043424
7104242452130
oct20030315250
95502813187
102153880232
11a0589a109
125013b6574
1328430445a
141660b3ac0
15c915bb07
hex80619aa8

2153880232 has 64 divisors (see below), whose sum is σ = 4707555840. Its totient is φ = 904780800.

The previous prime is 2153880203. The next prime is 2153880269. The reversal of 2153880232 is 2320883512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150257 + ... + 1152127.

It is an arithmetic number, because the mean of its divisors is an integer number (73555560).

Almost surely, 22153880232 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 2153880232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353777920).

2153880232 is an abundant number, since it is smaller than the sum of its proper divisors (2553675608).

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

2153880232 is a wasteful number, since it uses less digits than its factorization.

2153880232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2153880232 is about 46409.9152337084. The cubic root of 2153880232 is about 1291.4388592229.

The spelling of 2153880232 in words is "two billion, one hundred fifty-three million, eight hundred eighty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 337 427 488 674 854 1348 1708 1871 2359 2696 3416 3742 4718 7484 9436 13097 14968 18872 20557 26194 41114 52388 82228 104776 114131 143899 164456 228262 287798 456524 575596 630527 798917 913048 1151192 1261054 1597834 2522108 3195668 4413689 5044216 6391336 8827378 17654756 35309512 38462147 76924294 153848588 269235029 307697176 538470058 1076940116 2153880232