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2320213104 = 2432113147251
BaseRepresentation
bin1000101001001011…
…1010010001110000
312222200220001000200
42022102322101300
514222433304404
61022122115200
7111332325456
oct21222722160
95880801020
102320213104
11a907774a0
1254904bb00
132ac901581
141802109d6
15d8a65839
hex8a4ba470

2320213104 has 120 divisors (see below), whose sum is σ = 7312341504. Its totient is φ = 680400000.

The previous prime is 2320213087. The next prime is 2320213109. The reversal of 2320213104 is 4013120232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320213109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25479 + ... + 72729.

Almost surely, 22320213104 is an apocalyptic number.

2320213104 is a gapful number since it is divisible by the number (24) 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 2320213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656170752).

2320213104 is an abundant number, since it is smaller than the sum of its proper divisors (4992128400).

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

2320213104 is a wasteful number, since it uses less digits than its factorization.

2320213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47307 (or 47298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2320213104 is about 48168.5904298641. The cubic root of 2320213104 is about 1323.8617216388.

Adding to 2320213104 its reverse (4013120232), we get a palindrome (6333333336).

The spelling of 2320213104 in words is "two billion, three hundred twenty million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 24552 47251 49104 94502 141753 189004 283506 378008 425259 519761 567012 756016 850518 1039522 1134024 1464781 1559283 1701036 2079044 2268048 2929562 3118566 3402072 4158088 4394343 4677849 5859124 6237132 6804144 8316176 8788686 9355698 11718248 12474264 13183029 16112591 17577372 18711396 23436496 24948528 26366058 32225182 35154744 37422792 48337773 52732116 64450364 70309488 74845584 96675546 105464232 128900728 145013319 193351092 210928464 257801456 290026638 386702184 580053276 773404368 1160106552 2320213104