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3112132208 = 241923716269
BaseRepresentation
bin1011100101111111…
…0101111001110000
322000220000200210212
42321133311321300
522333201212313
61232451443252
7140056454513
oct27137657160
98026020725
103112132208
111357798a99
1272a2b6528
133a79b5263
14217474d7a
151333433a8
hexb97f5e70

3112132208 has 80 divisors (see below), whose sum is σ = 6717427200. Its totient is φ = 1389991680.

The previous prime is 3112132201. The next prime is 3112132249. The reversal of 3112132208 is 8022312113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112132201) 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, 493298 + ... + 499566.

It is an arithmetic number, because the mean of its divisors is an integer number (83967840).

Almost surely, 23112132208 is an apocalyptic number.

3112132208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112132208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358713600).

3112132208 is an abundant number, since it is smaller than the sum of its proper divisors (3605294992).

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

3112132208 is a wasteful number, since it uses less digits than its factorization.

3112132208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 3112132208 is about 55786.4876829506. The cubic root of 3112132208 is about 1459.9994070180. Note that the first 3 decimals are identical.

The spelling of 3112132208 in words is "three billion, one hundred twelve million, one hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 23 38 46 71 76 92 142 152 184 284 304 368 437 568 874 1136 1349 1633 1748 2698 3266 3496 5396 6269 6532 6992 10792 12538 13064 21584 25076 26128 31027 50152 62054 100304 119111 124108 144187 238222 248216 288374 445099 476444 496432 576748 890198 952888 1153496 1780396 1905776 2306992 2739553 3560792 5479106 7121584 8456881 10237277 10958212 16913762 20474554 21916424 33827524 40949108 43832848 67655048 81898216 135310096 163796432 194508263 389016526 778033052 1556066104 3112132208