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233230323300 = 2235213179334093
BaseRepresentation
bin1101100100110110011…
…1000100111001100100
3211022000020000000101020
43121031213010321210
512310123430321200
6255051115131140
722564444016022
oct3311547047144
9738006000336
10233230323300
118aa04489a07
1239250443ab0
1318cbba0bc80
14b407569712
15610098aea0
hex364d9c4e64

233230323300 has 144 divisors (see below), whose sum is σ = 730783851840. Its totient is φ = 57089640960.

The previous prime is 233230323281. The next prime is 233230323317. The reversal of 233230323300 is 3323032332.

233230323300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531054 + ... + 865146.

It is an arithmetic number, because the mean of its divisors is an integer number (5074887860).

Almost surely, 2233230323300 is an apocalyptic number.

233230323300 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 233230323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365391925920).

233230323300 is an abundant number, since it is smaller than the sum of its proper divisors (497553528540).

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

233230323300 is a wasteful number, since it uses less digits than its factorization.

233230323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334302 (or 334295 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 233230323300 its reverse (3323032332), we get a palindrome (236553355632).

The spelling of 233230323300 in words is "two hundred thirty-three billion, two hundred thirty million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 179 195 260 300 325 358 390 537 650 716 780 895 975 1074 1300 1790 1950 2148 2327 2685 3580 3900 4475 4654 5370 6981 8950 9308 10740 11635 13425 13962 17900 23270 26850 27924 34905 46540 53700 58175 69810 116350 139620 174525 232700 334093 349050 668186 698100 1002279 1336372 1670465 2004558 3340930 4009116 4343209 5011395 6681860 8352325 8686418 10022790 13029627 16704650 17372836 20045580 21716045 25056975 26059254 33409300 43432090 50113950 52118508 59802647 65148135 86864180 100227900 108580225 119605294 130296270 179407941 217160450 239210588 260592540 299013235 325740675 358815882 434320900 598026470 651481350 717631764 777434411 897039705 1196052940 1302962700 1495066175 1554868822 1794079410 2332303233 2990132350 3109737644 3588158820 3887172055 4485198525 4664606466 5980264700 7774344110 8970397050 9329212932 11661516165 15548688220 17940794100 19435860275 23323032330 38871720550 46646064660 58307580825 77743441100 116615161650 233230323300