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2330234420 = 225232257857
BaseRepresentation
bin1000101011100100…
…1000111000110100
320000101202011200112
42022321020320310
514233020000140
61023121002152
7111513444233
oct21271107064
96011664615
102330234420
11a963a1678
12550483358
132b19cca47
1418169cb1a
15d9894c65
hex8ae48e34

2330234420 has 72 divisors (see below), whose sum is σ = 5141400264. Its totient is φ = 887062528.

The previous prime is 2330234377. The next prime is 2330234437. The reversal of 2330234420 is 244320332.

It can be written as a sum of positive squares in 4 ways, for example, as 1447193764 + 883040656 = 38042^2 + 29716^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718632 + ... + 2719488.

It is an arithmetic number, because the mean of its divisors is an integer number (71408337).

Almost surely, 22330234420 is an apocalyptic number.

2330234420 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 2330234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570700132).

2330234420 is an abundant number, since it is smaller than the sum of its proper divisors (2811165844).

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

2330234420 is a wasteful number, since it uses less digits than its factorization.

2330234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 2330234420 is about 48272.5016961002. The cubic root of 2330234420 is about 1325.7649637600.

Adding to 2330234420 its reverse (244320332), we get a palindrome (2574554752).

The spelling of 2330234420 in words is "two billion, three hundred thirty million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 257 460 514 529 857 1028 1058 1285 1714 2116 2570 2645 3428 4285 5140 5290 5911 8570 10580 11822 17140 19711 23644 29555 39422 59110 78844 98555 118220 135953 197110 220249 271906 394220 440498 453353 543812 679765 880996 906706 1101245 1359530 1813412 2202490 2266765 2719060 4404980 4533530 5065727 9067060 10131454 20262908 25328635 50657270 101314540 116511721 233023442 466046884 582558605 1165117210 2330234420