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196833888 = 2535171489
BaseRepresentation
bin10111011101101…
…11001001100000
3111201101012100000
423232313021200
5400342141023
631310500000
74610026506
oct1356671140
9451335300
10196833888
11a1120239
1255b04600
1331a19174
141c1da676
1512431243
hexbbb7260

196833888 has 144 divisors (see below), whose sum is σ = 615036240. Its totient is φ = 61710336.

The previous prime is 196833887. The next prime is 196833893. The reversal of 196833888 is 888338691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196833881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131448 + ... + 132936.

It is an arithmetic number, because the mean of its divisors is an integer number (4271085).

Almost surely, 2196833888 is an apocalyptic number.

196833888 is a gapful number since it is divisible by the number (18) 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 196833888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307518120).

196833888 is an abundant number, since it is smaller than the sum of its proper divisors (418202352).

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

196833888 is a wasteful number, since it uses less digits than its factorization.

196833888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1511 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 196833888 is about 14029.7501046883. The cubic root of 196833888 is about 581.7011963895.

It can be divided in two parts, 19683 and 3888, that multiplied together give a square (76527504 = 87482).

The spelling of 196833888 in words is "one hundred ninety-six million, eight hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 816 864 918 972 1224 1296 1377 1489 1632 1836 1944 2448 2592 2754 2978 3672 3888 4131 4467 4896 5508 5956 7344 7776 8262 8934 11016 11912 13401 14688 16524 17868 22032 23824 25313 26802 33048 35736 40203 44064 47648 50626 53604 66096 71472 75939 80406 101252 107208 120609 132192 142944 151878 160812 202504 214416 227817 241218 303756 321624 361827 405008 428832 455634 482436 607512 643248 683451 723654 810016 911268 964872 1215024 1286496 1366902 1447308 1822536 1929744 2050353 2430048 2733804 2894616 3645072 3859488 4100706 5467608 5789232 6151059 7290144 8201412 10935216 11578464 12302118 16402824 21870432 24604236 32805648 49208472 65611296 98416944 196833888