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230110553200 = 245211140937117
BaseRepresentation
bin1101011001001110101…
…0000110010001110000
3210222221210121021100111
43112103222012101300
512232231300200300
6253413351431104
722424232300253
oct3262352062160
9728853537314
10230110553200
1189653454510
123871b685494
1318912581368
14b1cd0a709a
155ebbb399ba
hex3593a86470

230110553200 has 120 divisors (see below), whose sum is σ = 603543134160. Its totient is φ = 83614924800.

The previous prime is 230110553191. The next prime is 230110553261. The reversal of 230110553200 is 2355011032.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 6181042 + ... + 6218158.

It is an arithmetic number, because the mean of its divisors is an integer number (5029526118).

Almost surely, 2230110553200 is an apocalyptic number.

230110553200 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 230110553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301771567080).

230110553200 is an abundant number, since it is smaller than the sum of its proper divisors (373432580960).

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

230110553200 is a wasteful number, since it uses less digits than its factorization.

230110553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38555 (or 38544 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 230110553200 its reverse (2355011032), we get a palindrome (232465564232).

It can be divided in two parts, 2301 and 10553200, that added together give a palindrome (10555501).

The spelling of 230110553200 in words is "two hundred thirty billion, one hundred ten million, five hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1409 2200 2818 4400 5636 7045 11272 14090 15499 22544 28180 30998 35225 37117 56360 61996 70450 74234 77495 112720 123992 140900 148468 154990 185585 247984 281800 296936 309980 371170 387475 408287 563600 593872 619960 742340 774950 816574 927925 1239920 1484680 1549900 1633148 1855850 2041435 2969360 3099800 3266296 3711700 4082870 6199600 6532592 7423400 8165740 10207175 14846800 16331480 20414350 32662960 40828700 52297853 81657400 104595706 163314800 209191412 261489265 418382824 522978530 575276383 836765648 1045957060 1150552766 1307446325 2091914120 2301105532 2614892650 2876381915 4183828240 4602211064 5229785300 5752763830 9204422128 10459570600 11505527660 14381909575 20919141200 23011055320 28763819150 46022110640 57527638300 115055276600 230110553200