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2380422912 = 2837479421
BaseRepresentation
bin1000110111100010…
…0101111100000000
320010220012000100120
42031320211330000
514333342013122
61032112420240
7112663155330
oct21570457400
96126160316
102380422912
111011760a6a
12565247680
132bc222b8a
141882050c0
15ddeaa75c
hex8de25f00

2380422912 has 144 divisors (see below), whose sum is σ = 7395290112. Its totient is φ = 665579520.

The previous prime is 2380422899. The next prime is 2380422917. The reversal of 2380422912 is 2192240832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380422917) 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, 247962 + ... + 257382.

Almost surely, 22380422912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380422912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697645056).

2380422912 is an abundant number, since it is smaller than the sum of its proper divisors (5014867200).

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

2380422912 is an equidigital number, since it uses as much as digits as its factorization.

2380422912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2380422912 is about 48789.5779034826. The cubic root of 2380422912 is about 1335.2155266499.

The spelling of 2380422912 in words is "two billion, three hundred eighty million, four hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 564 658 672 752 768 896 987 1128 1316 1344 1504 1792 1974 2256 2632 2688 3008 3948 4512 5264 5376 6016 7896 9024 9421 10528 12032 15792 18048 18842 21056 28263 31584 36096 37684 42112 56526 63168 65947 75368 84224 113052 126336 131894 150736 197841 226104 252672 263788 301472 395682 442787 452208 527576 602944 791364 885574 904416 1055152 1205888 1328361 1582728 1771148 1808832 2110304 2411776 2656722 3099509 3165456 3542296 3617664 4220608 5313444 6199018 6330912 7084592 7235328 8441216 9298527 10626888 12398036 12661824 14169184 16882432 18597054 21253776 24796072 25323648 28338368 37194108 42507552 49592144 50647296 56676736 74388216 85015104 99184288 113353472 148776432 170030208 198368576 297552864 340060416 396737152 595105728 793474304 1190211456 2380422912