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230031332020 = 225724712314057
BaseRepresentation
bin1101011000111011101…
…1111001001010110100
3210222202021112102022201
43112032323321022310
512232101010111040
6253401441434244
722422251026600
oct3261673711264
9728667472281
10230031332020
1189612765466
12386b903b984
13188cc034619
14b1c2764500
155eb4bdba9a
hex358eef92b4

230031332020 has 144 divisors (see below), whose sum is σ = 574497487872. Its totient is φ = 77108129280.

The previous prime is 230031331993. The next prime is 230031332029. The reversal of 230031332020 is 20233130032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230031332029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56697832 + ... + 56701888.

It is an arithmetic number, because the mean of its divisors is an integer number (3989565888).

Almost surely, 2230031332020 is an apocalyptic number.

230031332020 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 230031332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287248743936).

230031332020 is an abundant number, since it is smaller than the sum of its proper divisors (344466155852).

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

230031332020 is a wasteful number, since it uses less digits than its factorization.

230031332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 230031332020 its reverse (20233130032), we get a palindrome (250264462052).

The spelling of 230031332020 in words is "two hundred thirty billion, thirty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 1231 1316 1645 2303 2462 3290 4057 4606 4924 6155 6580 8114 8617 9212 11515 12310 16228 17234 20285 23030 24620 28399 34468 40570 43085 46060 56798 57857 60319 81140 86170 113596 115714 120638 141995 172340 190679 198793 231428 241276 283990 289285 301595 381358 397586 404999 567980 578570 603190 762716 795172 809998 953395 993965 1157140 1206380 1334753 1619996 1906790 1987930 2024995 2669506 2834993 3813580 3975860 4049990 4994167 5339012 5669986 6673765 8099980 9343271 9988334 11339972 13347530 14174965 18686542 19976668 24970835 26695060 28349930 34959169 37373084 46716355 49941670 56699860 69918338 93432710 99883340 139836676 174795845 186865420 234725849 244714183 349591690 469451698 489428366 699183380 938903396 978856732 1173629245 1223570915 1643080943 2347258490 2447141830 3286161886 4694516980 4894283660 6572323772 8215404715 11501566601 16430809430 23003133202 32861618860 46006266404 57507833005 115015666010 230031332020