Search a number
-
+
2284097112 = 2332113123001
BaseRepresentation
bin1000100000100100…
…1000111001011000
312220011221011012100
42020021020321120
514134212101422
61014352043400
7110413335153
oct21011107130
95804834170
102284097112
11a72349a70
12538b33560
132a529786b
141794ccc9a
15d57ce7ac
hex88248e58

2284097112 has 144 divisors (see below), whose sum is σ = 6975507240. Its totient is φ = 669600000.

The previous prime is 2284097107. The next prime is 2284097113. The reversal of 2284097112 is 2117904822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284097113) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 759612 + ... + 762612.

Almost surely, 22284097112 is an apocalyptic number.

2284097112 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 2284097112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487753620).

2284097112 is an abundant number, since it is smaller than the sum of its proper divisors (4691410128).

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

2284097112 is a wasteful number, since it uses less digits than its factorization.

2284097112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2284097112 is about 47792.2285732733. The cubic root of 2284097112 is about 1316.9567772062.

The spelling of 2284097112 in words is "two billion, two hundred eighty-four million, ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 961 1023 1116 1364 1922 2046 2232 2728 2883 3001 3069 3844 4092 5766 6002 6138 7688 8184 8649 9003 10571 11532 12004 12276 17298 18006 21142 23064 24008 24552 27009 31713 33011 34596 36012 42284 54018 63426 66022 69192 72024 84568 93031 95139 99033 108036 126852 132044 186062 190278 198066 216072 253704 264088 279093 297099 372124 380556 396132 558186 594198 744248 761112 792264 837279 1023341 1116372 1188396 1674558 2046682 2232744 2376792 2883961 3070023 3349116 4093364 5767922 6140046 6698232 8186728 8651883 9210069 11535844 12280092 17303766 18420138 23071688 24560184 25955649 31723571 34607532 36840276 51911298 63447142 69215064 73680552 95170713 103822596 126894284 190341426 207645192 253788568 285512139 380682852 571024278 761365704 1142048556 2284097112