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230202033300 = 223252892873933
BaseRepresentation
bin1101011001100100011…
…1000100010010010100
3211000012011201221110100
43112121013010102110
512232423210031200
6253430420254100
722426422666141
oct3263107042224
9730164657410
10230202033300
11896a00568a8
1238746241330
1318928500bb5
14b1db2bb3c8
155ec4ba9d00
hex35991c4494

230202033300 has 108 divisors (see below), whose sum is σ = 729663103260. Its totient is φ = 60697443840.

The previous prime is 230202033293. The next prime is 230202033301. The reversal of 230202033300 is 3330202032.

It can be written as a sum of positive squares in 6 ways, for example, as 10019609604 + 220182423696 = 100098^2 + 469236^2 .

It is a super-2 number, since 2×2302020333002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230202033301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1356867 + ... + 1517066.

It is an arithmetic number, because the mean of its divisors is an integer number (6756139845).

Almost surely, 2230202033300 is an apocalyptic number.

230202033300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230202033300 is an abundant number, since it is smaller than the sum of its proper divisors (499461069960).

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

230202033300 is a wasteful number, since it uses less digits than its factorization.

230202033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874042 (or 2874032 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 230202033300 its reverse (3330202032), we get a palindrome (233532235332).

The spelling of 230202033300 in words is "two hundred thirty billion, two hundred two million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 89 90 100 150 178 180 225 267 300 356 445 450 534 801 890 900 1068 1335 1602 1780 2225 2670 3204 4005 4450 5340 6675 8010 8900 13350 16020 20025 26700 40050 80100 2873933 5747866 8621799 11495732 14369665 17243598 25865397 28739330 34487196 43108995 51730794 57478660 71848325 86217990 103461588 129326985 143696650 172435980 215544975 255780037 258653970 287393300 431089950 511560074 517307940 646634925 767340111 862179900 1023120148 1278900185 1293269850 1534680222 2302020333 2557800370 2586539700 3069360444 3836700555 4604040666 5115600740 6394500925 7673401110 9208081332 11510101665 12789001850 15346802220 19183502775 23020203330 25578003700 38367005550 46040406660 57550508325 76734011100 115101016650 230202033300