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193216680 = 23325709757
BaseRepresentation
bin10111000010001…
…00000010101000
3111110120102110100
423201010002220
5343430413210
631101145400
74534212636
oct1341040250
9443512410
10193216680
119a07a608
125485b260
13310508c7
141b938356
1511e695c0
hexb8440a8

193216680 has 96 divisors (see below), whose sum is σ = 629670600. Its totient is φ = 51383808.

The previous prime is 193216669. The next prime is 193216691. The reversal of 193216680 is 86612391.

It is an interprime number because it is at equal distance from previous prime (193216669) and next prime (193216691).

It can be written as a sum of positive squares in 4 ways, for example, as 129823236 + 63393444 = 11394^2 + 7962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254862 + ... + 255618.

Almost surely, 2193216680 is an apocalyptic number.

193216680 is a gapful number since it is divisible by the number (10) 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 193216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314835300).

193216680 is an abundant number, since it is smaller than the sum of its proper divisors (436453920).

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

193216680 is a wasteful number, since it uses less digits than its factorization.

193216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 193216680 is about 13900.2402856929. The cubic root of 193216680 is about 578.1158438482.

The spelling of 193216680 in words is "one hundred ninety-three million, two hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 709 757 1418 1514 2127 2271 2836 3028 3545 3785 4254 4542 5672 6056 6381 6813 7090 7570 8508 9084 10635 11355 12762 13626 14180 15140 17016 18168 21270 22710 25524 27252 28360 30280 31905 34065 42540 45420 51048 54504 63810 68130 85080 90840 127620 136260 255240 272520 536713 1073426 1610139 2146852 2683565 3220278 4293704 4830417 5367130 6440556 8050695 9660834 10734260 12881112 16101390 19321668 21468520 24152085 32202780 38643336 48304170 64405560 96608340 193216680