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2298049488 = 243375091493
BaseRepresentation
bin1000100011111001…
…0111001111010000
312221011012000021000
42020332113033100
514201300040423
61020011102000
7110643045510
oct21076271720
95834160230
102298049488
11a7a209659
12541741900
132a81413c7
1417b2c1840
15d6b38843
hex88f973d0

2298049488 has 160 divisors (see below), whose sum is σ = 7558444800. Its totient is φ = 654856704.

The previous prime is 2298049471. The next prime is 2298049493. The reversal of 2298049488 is 8849408922.

2298049488 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 (54).

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, 1538470 + ... + 1539962.

It is an arithmetic number, because the mean of its divisors is an integer number (47240280).

Almost surely, 22298049488 is an apocalyptic number.

2298049488 is a gapful number since it is divisible by the number (28) 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 2298049488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779222400).

2298049488 is an abundant number, since it is smaller than the sum of its proper divisors (5260395312).

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

2298049488 is a wasteful number, since it uses less digits than its factorization.

2298049488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2298049488 is about 47937.9754265864. The cubic root of 2298049488 is about 1319.6328731084.

The spelling of 2298049488 in words is "two billion, two hundred ninety-eight million, forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 509 756 1008 1018 1493 1512 1527 2036 2986 3024 3054 3563 4072 4479 4581 5972 6108 7126 8144 8958 9162 10451 10689 11944 12216 13437 13743 14252 17916 18324 20902 21378 23888 24432 26874 27486 28504 31353 32067 35832 36648 40311 41804 42756 53748 54972 57008 62706 64134 71664 73296 80622 83608 85512 94059 96201 107496 109944 125412 128268 161244 167216 171024 188118 192402 214992 219888 250824 256536 282177 322488 376236 384804 501648 513072 564354 644976 752472 759937 769608 1128708 1504944 1519874 1539216 2257416 2279811 3039748 4514832 4559622 5319559 6079496 6839433 9119244 10639118 12158992 13678866 15958677 18238488 20518299 21278236 27357732 31917354 36476976 41036598 42556472 47876031 54715464 63834708 82073196 85112944 95752062 109430928 127669416 143628093 164146392 191504124 255338832 287256186 328292784 383008248 574512372 766016496 1149024744 2298049488