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1398229456 = 24131931101113
BaseRepresentation
bin101001101010111…
…0100100111010000
310121110000102020011
41103111310213100
510330421320311
6350424524304
746435516501
oct12325644720
93543012204
101398229456
1165829a538
12330320694
131938ab910
14d39b0ba8
1582b45321
hex535749d0

1398229456 has 160 divisors (see below), whose sum is σ = 3229793280. Its totient is φ = 580608000.

The previous prime is 1398229387. The next prime is 1398229457. The reversal of 1398229456 is 6549228931.

It is a super-2 number, since 2×13982294562 = 3910091223252111872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398229457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12373656 + ... + 12373768.

It is an arithmetic number, because the mean of its divisors is an integer number (20186208).

Almost surely, 21398229456 is an apocalyptic number.

1398229456 is a gapful number since it is divisible by the number (16) 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 1398229456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614896640).

1398229456 is an abundant number, since it is smaller than the sum of its proper divisors (1831563824).

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

1398229456 is a wasteful number, since it uses less digits than its factorization.

1398229456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 1398229456 is about 37392.9064930770. The cubic root of 1398229456 is about 1118.2171507584.

The spelling of 1398229456 in words is "one billion, three hundred ninety-eight million, two hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 101 104 113 124 152 202 208 226 247 248 304 403 404 452 494 496 589 806 808 904 988 1178 1313 1469 1612 1616 1808 1919 1976 2147 2356 2626 2938 3131 3224 3503 3838 3952 4294 4712 5252 5876 6262 6448 7006 7657 7676 8588 9424 10504 11413 11752 12524 14012 15314 15352 17176 21008 22826 23504 24947 25048 27911 28024 30628 30704 34352 40703 45539 45652 49894 50096 55822 56048 59489 61256 66557 81406 91078 91304 99788 111644 118978 122512 133114 148369 162812 182156 182608 199576 216847 223288 237956 266228 296738 325624 353803 364312 399152 433694 446576 475912 532456 593476 651248 707606 728624 773357 865241 867388 951824 1064912 1186952 1415212 1546714 1730482 1734776 2373904 2819011 2830424 3093428 3460964 3469552 4599439 5638022 5660848 6186856 6722257 6921928 9198878 11276044 12373712 13444514 13843856 18397756 22552088 26889028 36795512 45104176 53778056 73591024 87389341 107556112 174778682 349557364 699114728 1398229456