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2330503020 = 2232526948131
BaseRepresentation
bin1000101011101000…
…1010011101101100
320000102020211010200
42022322022131230
514233102044040
61023130433500
7111515643306
oct21272123554
96012224120
102330503020
11a9656545a
12550592890
132b1a95091
1418172c976
15d98e9630
hex8ae8a76c

2330503020 has 72 divisors (see below), whose sum is σ = 7095619440. Its totient is φ = 619144320.

The previous prime is 2330502997. The next prime is 2330503067. The reversal of 2330503020 is 203050332.

2330503020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2330502984 and 2330503002.

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, 24355 + ... + 72485.

It is an arithmetic number, because the mean of its divisors is an integer number (98550270).

Almost surely, 22330503020 is an apocalyptic number.

2330503020 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 2330503020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547809720).

2330503020 is an abundant number, since it is smaller than the sum of its proper divisors (4765116420).

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

2330503020 is a wasteful number, since it uses less digits than its factorization.

2330503020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48415 (or 48410 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 2330503020 is about 48275.2837381615. The cubic root of 2330503020 is about 1325.8159009511.

Adding to 2330503020 its reverse (203050332), we get a palindrome (2533553352).

The spelling of 2330503020 in words is "two billion, three hundred thirty million, five hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4842 5380 8070 9684 12105 16140 24210 48131 48420 96262 144393 192524 240655 288786 433179 481310 577572 721965 866358 962620 1443930 1732716 2165895 2887860 4331790 8663580 12947239 25894478 38841717 51788956 64736195 77683434 116525151 129472390 155366868 194208585 233050302 258944780 388417170 466100604 582625755 776834340 1165251510 2330503020