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2330010320 = 245114164579
BaseRepresentation
bin1000101011100001…
…0010001011010000
320000101022210021112
42022320102023100
514232440312240
61023112112452
7111511522001
oct21270221320
96011283245
102330010320
11a96259270
12550395728
132b1951a41
141816411a8
15d984d665
hex8ae122d0

2330010320 has 80 divisors (see below), whose sum is σ = 6053987520. Its totient is φ = 826598400.

The previous prime is 2330010317. The next prime is 2330010323. The reversal of 2330010320 is 230100332.

It is an interprime number because it is at equal distance from previous prime (2330010317) and next prime (2330010323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2330010295 and 2330010304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330010323) 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, 3791 + ... + 68369.

It is an arithmetic number, because the mean of its divisors is an integer number (75674844).

Almost surely, 22330010320 is an apocalyptic number.

2330010320 is a gapful number since it is divisible by the number (20) 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 2330010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026993760).

2330010320 is an abundant number, since it is smaller than the sum of its proper divisors (3723977200).

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

2330010320 is a wasteful number, since it uses less digits than its factorization.

2330010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64644 (or 64638 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2330010320 is about 48270.1804430023. The cubic root of 2330010320 is about 1325.7224625349.

Adding to 2330010320 its reverse (230100332), we get a palindrome (2560110652).

The spelling of 2330010320 in words is "two billion, three hundred thirty million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 36080 64579 129158 258316 322895 516632 645790 710369 1033264 1291580 1420738 2583160 2647739 2841476 3551845 5166320 5295478 5682952 7103690 10590956 11365904 13238695 14207380 21181912 26477390 28414760 29125129 42363824 52954780 56829520 58250258 105909560 116500516 145625645 211819120 233001032 291251290 466002064 582502580 1165005160 2330010320