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21830797500 = 2235419914627
BaseRepresentation
bin10100010101001101…
…111000100010111100
32002100102111102021120
4110111031320202330
5324202141010000
614010125430540
71401662500641
oct242515704274
962312442246
1021830797500
119292a09306
12429310b450
13209ba8b975
1410b14d7dc8
1587b8596a0
hex5153788bc

21830797500 has 120 divisors (see below), whose sum is σ = 63977020800. Its totient is φ = 5791896000.

The previous prime is 21830797493. The next prime is 21830797529. The reversal of 21830797500 is 579703812.

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 39 ways as a sum of consecutive naturals, for example, 1485187 + ... + 1499813.

It is an arithmetic number, because the mean of its divisors is an integer number (533141840).

Almost surely, 221830797500 is an apocalyptic number.

21830797500 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 21830797500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31988510400).

21830797500 is an abundant number, since it is smaller than the sum of its proper divisors (42146223300).

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

21830797500 is a wasteful number, since it uses less digits than its factorization.

21830797500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14853 (or 14836 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 21830797500 in words is "twenty-one billion, eight hundred thirty million, seven hundred ninety-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 199 250 300 375 398 500 597 625 750 796 995 1194 1250 1500 1875 1990 2388 2500 2985 3750 3980 4975 5970 7500 9950 11940 14627 14925 19900 24875 29254 29850 43881 49750 58508 59700 73135 74625 87762 99500 124375 146270 149250 175524 219405 248750 292540 298500 365675 373125 438810 497500 731350 746250 877620 1097025 1462700 1492500 1828375 2194050 2910773 3656750 4388100 5485125 5821546 7313500 8732319 9141875 10970250 11643092 14553865 17464638 18283750 21940500 27425625 29107730 34929276 36567500 43661595 54851250 58215460 72769325 87323190 109702500 145538650 174646380 218307975 291077300 363846625 436615950 727693250 873231900 1091539875 1455386500 1819233125 2183079750 3638466250 4366159500 5457699375 7276932500 10915398750 21830797500