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2321134332 = 22311236711411
BaseRepresentation
bin1000101001011001…
…1011001011111100
312222202121211201020
42022112123023330
514223202244312
61022153544140
7111343213326
oct21226331374
95882554636
102321134332
11a91246640
12549415050
132acb6498a
141803b0616
15d8b9878c
hex8a59b2fc

2321134332 has 96 divisors (see below), whose sum is σ = 6257793024. Its totient is φ = 662692800.

The previous prime is 2321134273. The next prime is 2321134369. The reversal of 2321134332 is 2334311232.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197707 + ... + 209117.

It is an arithmetic number, because the mean of its divisors is an integer number (65185344).

Almost surely, 22321134332 is an apocalyptic number.

2321134332 is a gapful number since it is divisible by the number (22) 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 2321134332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128896512).

2321134332 is an abundant number, since it is smaller than the sum of its proper divisors (3936658692).

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

2321134332 is a wasteful number, since it uses less digits than its factorization.

2321134332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519 (or 11517 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 2321134332 is about 48178.1520193542. The cubic root of 2321134332 is about 1324.0369091551.

Adding to 2321134332 its reverse (2334311232), we get a palindrome (4655445564).

Subtracting 2321134332 from its reverse (2334311232), we obtain a square (13176900 = 36302).

The spelling of 2321134332 in words is "two billion, three hundred twenty-one million, one hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 67 69 92 132 134 138 201 253 268 276 402 506 737 759 804 1012 1474 1518 1541 2211 2948 3036 3082 4422 4623 6164 8844 9246 11411 16951 18492 22822 33902 34233 45644 50853 67804 68466 101706 125521 136932 203412 251042 262453 376563 502084 524906 753126 764537 787359 1049812 1506252 1529074 1574718 2293611 2886983 3058148 3149436 4587222 5773966 8409907 8660949 9174444 11547932 16819814 17321898 17584351 25229721 33639628 34643796 35168702 50459442 52753053 70337404 100918884 105506106 193427861 211012212 386855722 580283583 773711444 1160567166 2321134332