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213103744 = 277261557
BaseRepresentation
bin11001011001110…
…11010010000000
3112211222210101021
430230323102000
5414023304434
633051315224
75165231500
oct1454732200
9484883337
10213103744
11aa322aa7
125b44bb14
13351c47b9
1420433a00
1513a96cb4
hexcb3b480

213103744 has 96 divisors (see below), whose sum is σ = 502852860. Its totient is φ = 89671680.

The previous prime is 213103729. The next prime is 213103771. The reversal of 213103744 is 447301312.

It can be written as a sum of positive squares in 2 ways, for example, as 155950144 + 57153600 = 12488^2 + 7560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382314 + ... + 382870.

Almost surely, 2213103744 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 213103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251426430).

213103744 is an abundant number, since it is smaller than the sum of its proper divisors (289749116).

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

213103744 is an equidigital number, since it uses as much as digits as its factorization.

213103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 213103744 is about 14598.0732975280. The cubic root of 213103744 is about 597.3062053652.

The spelling of 213103744 in words is "two hundred thirteen million, one hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 392 427 448 488 557 784 854 896 976 1114 1568 1708 1952 2228 2989 3136 3416 3899 3904 4456 5978 6272 6832 7798 7808 8912 11956 13664 15596 17824 23912 27293 27328 31192 33977 35648 47824 54586 54656 62384 67954 71296 95648 109172 124768 135908 191296 218344 237839 249536 271816 382592 436688 475678 499072 543632 873376 951356 1087264 1664873 1746752 1902712 2174528 3329746 3493504 3805424 4349056 6659492 7610848 13318984 15221696 26637968 30443392 53275936 106551872 213103744