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193231104 = 2831189257
BaseRepresentation
bin10111000010001…
…11100100000000
3111110121011020120
423201013210000
5343431343404
631101340240
74534302663
oct1341074400
9443534216
10193231104
119a08a430
1254867680
1331057341
141b93d6da
1511e6d9d9
hexb847900

193231104 has 144 divisors (see below), whose sum is σ = 569540160. Its totient is φ = 57671680.

The previous prime is 193231067. The next prime is 193231127. The reversal of 193231104 is 401132391.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751744 + ... + 752000.

It is an arithmetic number, because the mean of its divisors is an integer number (3955140).

Almost surely, 2193231104 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 193231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284770080).

193231104 is an abundant number, since it is smaller than the sum of its proper divisors (376309056).

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

193231104 is a wasteful number, since it uses less digits than its factorization.

193231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 193231104 is about 13900.7591159620. The cubic root of 193231104 is about 578.1302293133.

Adding to 193231104 its reverse (401132391), we get a palindrome (594363495).

The spelling of 193231104 in words is "one hundred ninety-three million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 128 132 176 178 192 256 257 264 267 352 356 384 514 528 534 704 712 768 771 979 1028 1056 1068 1408 1424 1542 1958 2056 2112 2136 2816 2827 2848 2937 3084 3916 4112 4224 4272 5654 5696 5874 6168 7832 8224 8448 8481 8544 11308 11392 11748 12336 15664 16448 16962 17088 22616 22784 22873 23496 24672 31328 32896 33924 34176 45232 45746 46992 49344 62656 65792 67848 68352 68619 90464 91492 93984 98688 125312 135696 137238 180928 182984 187968 197376 250624 251603 271392 274476 361856 365968 375936 503206 542784 548952 723712 731936 751872 754809 1006412 1085568 1097904 1463872 1509618 2012824 2171136 2195808 2927744 3019236 4025648 4391616 5855488 6038472 8051296 8783232 12076944 16102592 17566464 24153888 32205184 48307776 64410368 96615552 193231104