Search a number
-
+
23435064200 = 2352971637411
BaseRepresentation
bin10101110100110101…
…101011001110001000
32020111020012121110202
4111310311223032020
5340443334023300
614433234431332
71456512521222
oct256465531610
966436177422
1023435064200
119a36534659
124660432548
1322962597c2
1411c45bd412
159225ecad5
hex574d6b388

23435064200 has 96 divisors (see below), whose sum is σ = 55393433760. Its totient is φ = 9219225600.

The previous prime is 23435064187. The next prime is 23435064223. The reversal of 23435064200 is 246053432.

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, 3158495 + ... + 3165905.

It is an arithmetic number, because the mean of its divisors is an integer number (577014935).

Almost surely, 223435064200 is an apocalyptic number.

23435064200 is a gapful number since it is divisible by the number (20) 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 23435064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27696716880).

23435064200 is an abundant number, since it is smaller than the sum of its proper divisors (31958369560).

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

23435064200 is a wasteful number, since it uses less digits than its factorization.

23435064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7687 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The spelling of 23435064200 in words is "twenty-three billion, four hundred thirty-five million, sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 163 194 200 326 388 485 652 776 815 970 1304 1630 1940 2425 3260 3880 4075 4850 6520 7411 8150 9700 14822 15811 16300 19400 29644 31622 32600 37055 59288 63244 74110 79055 126488 148220 158110 185275 296440 316220 370550 395275 632440 718867 741100 790550 1207993 1437734 1482200 1581100 2415986 2875468 3162200 3594335 4831972 5750936 6039965 7188670 9663944 12079930 14377340 17971675 24159860 28754680 30199825 35943350 48319720 60399650 71886700 117175321 120799300 143773400 234350642 241598600 468701284 585876605 937402568 1171753210 2343506420 2929383025 4687012840 5858766050 11717532100 23435064200