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2330224820 = 2257112952177
BaseRepresentation
bin1000101011100100…
…0110100010110100
320000101201200111222
42022321012202310
514233014143240
61023120445512
7111513404240
oct21271064264
96011650458
102330224820
11a96395440
12550479898
132b19c8571
14181699420
15d9891eb5
hex8ae468b4

2330224820 has 96 divisors (see below), whose sum is σ = 6311450880. Its totient is φ = 701245440.

The previous prime is 2330224811. The next prime is 2330224837. The reversal of 2330224820 is 284220332.

It is a self number, because there is not a number n which added to its sum of digits gives 2330224820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18572 + ... + 70748.

It is an arithmetic number, because the mean of its divisors is an integer number (65744280).

Almost surely, 22330224820 is an apocalyptic number.

2330224820 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 2330224820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155725440).

2330224820 is an abundant number, since it is smaller than the sum of its proper divisors (3981226060).

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

2330224820 is a wasteful number, since it uses less digits than its factorization.

2330224820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52233 (or 52231 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2330224820 is about 48272.4022605049. The cubic root of 2330224820 is about 1325.7631431476.

The spelling of 2330224820 in words is "two billion, three hundred thirty million, two hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 6380 8932 11165 22330 44660 52177 104354 208708 260885 365239 521770 573947 730478 1043540 1147894 1460956 1513133 1826195 2295788 2869735 3026266 3652390 4017629 5739470 6052532 7304780 7565665 8035258 10591931 11478940 15131330 16070516 16644463 20088145 21183862 30262660 33288926 40176290 42367724 52959655 66577852 80352580 83222315 105919310 116511241 166444630 211838620 233022482 332889260 466044964 582556205 1165112410 2330224820