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233053300000 = 255522910177
BaseRepresentation
bin1101100100001100001…
…1110010010100100000
3211021112212220022001201
43121003003302110200
512304243121100000
6255021353010544
722560164236063
oct3310303622440
9737485808051
10233053300000
118a92356a764
12392010b3a54
1318c9113ac61
14b3cbc488da
1560e016e96a
hex36430f2520

233053300000 has 144 divisors (see below), whose sum is σ = 576053833320. Its totient is φ = 92805120000.

The previous prime is 233053299917. The next prime is 233053300001. The reversal of 233053300000 is 3350332.

It can be written as a sum of positive squares in 12 ways, for example, as 36510037776 + 196543262224 = 191076^2 + 443332^2 .

It is not an unprimeable number, because it can be changed into a prime (233053300001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22894912 + ... + 22905088.

Almost surely, 2233053300000 is an apocalyptic number.

233053300000 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 233053300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288026916660).

233053300000 is an abundant number, since it is smaller than the sum of its proper divisors (343000533320).

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

233053300000 is an equidigital number, since it uses as much as digits as its factorization.

233053300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10441 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 19.

Adding to 233053300000 its reverse (3350332), we get a palindrome (233056650332).

The spelling of 233053300000 in words is "two hundred thirty-three billion, fifty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 229 250 400 458 500 625 800 916 1000 1145 1250 1832 2000 2290 2500 3125 3664 4000 4580 5000 5725 6250 7328 9160 10000 10177 11450 12500 18320 20000 20354 22900 25000 28625 36640 40708 45800 50000 50885 57250 81416 91600 100000 101770 114500 143125 162832 183200 203540 229000 254425 286250 325664 407080 458000 508850 572500 715625 814160 916000 1017700 1145000 1272125 1431250 1628320 2035400 2290000 2330533 2544250 2862500 4070800 4580000 4661066 5088500 5725000 6360625 8141600 9322132 10177000 11450000 11652665 12721250 18644264 20354000 22900000 23305330 25442500 31803125 37288528 40708000 46610660 50885000 58263325 63606250 74577056 93221320 101770000 116526650 127212500 186442640 203540000 233053300 254425000 291316625 372885280 466106600 508850000 582633250 932213200 1017700000 1165266500 1456583125 1864426400 2330533000 2913166250 4661066000 5826332500 7282915625 9322132000 11652665000 14565831250 23305330000 29131662500 46610660000 58263325000 116526650000 233053300000