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195232896 = 2733173323
BaseRepresentation
bin10111010001100…
…00010010000000
3111121100212012000
423220300102000
5344434423041
631212304000
74560311055
oct1350602200
9447325160
10195232896
11a0227401
1255472000
13315a8531
141bd0102c
1512216bb6
hexba30480

195232896 has 128 divisors (see below), whose sum is σ = 610286400. Its totient is φ = 61231104.

The previous prime is 195232871. The next prime is 195232903. The reversal of 195232896 is 698232591.

195232896 is a `hidden beast` number, since 19 + 523 + 28 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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, 57091 + ... + 60413.

Almost surely, 2195232896 is an apocalyptic number.

195232896 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 195232896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305143200).

195232896 is an abundant number, since it is smaller than the sum of its proper divisors (415053504).

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

195232896 is a wasteful number, since it uses less digits than its factorization.

195232896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3345 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 195232896 is about 13972.5765698385. The cubic root of 195232896 is about 580.1197691623.

The spelling of 195232896 in words is "one hundred ninety-five million, two hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3323 3456 3672 4896 6528 6646 7344 9792 9969 13292 14688 19584 19938 26584 29376 29907 39876 53168 56491 58752 59814 79752 89721 106336 112982 119628 159504 169473 179442 212672 225964 239256 319008 338946 358884 425344 451928 478512 508419 638016 677892 717768 903856 957024 1016838 1276032 1355784 1435536 1525257 1807712 1914048 2033676 2711568 2871072 3050514 3615424 3828096 4067352 5423136 5742144 6101028 7230848 8134704 10846272 11484288 12202056 16269408 21692544 24404112 32538816 48808224 65077632 97616448 195232896