Search a number
-
+
23116459320 = 2333547455407
BaseRepresentation
bin10101100001110110…
…010010110100111000
32012200000200210202000
4111201312102310320
5334320303144240
614341453541000
71445563443063
oct254166226470
965600623660
1023116459320
119892703039
1245917a4760
1322452465c6
1411941658da
15904666430
hex561d92d38

23116459320 has 128 divisors (see below), whose sum is σ = 78694502400. Its totient is φ = 6033218688.

The previous prime is 23116459319. The next prime is 23116459343. The reversal of 23116459320 is 2395461132.

23116459320 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 64 + 593 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176944 + ... + 278463.

It is an arithmetic number, because the mean of its divisors is an integer number (614800800).

Almost surely, 223116459320 is an apocalyptic number.

23116459320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23116459320 is an abundant number, since it is smaller than the sum of its proper divisors (55578043080).

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

23116459320 is a wasteful number, since it uses less digits than its factorization.

23116459320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455474 (or 455464 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23116459320 in words is "twenty-three billion, one hundred sixteen million, four hundred fifty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2538 2820 3384 4230 5076 5640 6345 8460 10152 12690 16920 25380 50760 455407 910814 1366221 1821628 2277035 2732442 3643256 4098663 4554070 5464884 6831105 8197326 9108140 10929768 12295989 13662210 16394652 18216280 20493315 21404129 24591978 27324420 32789304 40986630 42808258 49183956 54648840 61479945 64212387 81973260 85616516 98367912 107020645 122959890 128424774 163946520 171233032 192637161 214041290 245919780 256849548 321061935 385274322 428082580 491839560 513699096 577911483 642123870 770548644 856165160 963185805 1155822966 1284247740 1541097288 1926371610 2311645932 2568495480 2889557415 3852743220 4623291864 5779114830 7705486440 11558229660 23116459320