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23232033031000 = 235389369770607
BaseRepresentation
bin1010100100001001000010…
…00100111000001101011000
310001020221221022211001012211
411102010201010320031120
511021113200423443000
6121224352034444504
74615313302344643
oct522044104701530
9101227838731184
1023232033031000
117447716a96252
122732634a33734
13cc6a04768a01
145a4617696a5a
152a44b9db27ba
hex152121138358

23232033031000 has 128 divisors (see below), whose sum is σ = 54989425670400. Its totient is φ = 9185784115200.

The previous prime is 23232033030971. The next prime is 23232033031007. The reversal of 23232033031000 is 13033023232.

It is a super-2 number, since 2×232320330310002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23232033031007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328997697 + ... + 329068303.

It is an arithmetic number, because the mean of its divisors is an integer number (429604888050).

Almost surely, 223232033031000 is an apocalyptic number.

23232033031000 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 23232033031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27494712835200).

23232033031000 is an abundant number, since it is smaller than the sum of its proper divisors (31757392639400).

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

23232033031000 is a wasteful number, since it uses less digits than its factorization.

23232033031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74414 (or 74400 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 23232033031000 its reverse (13033023232), we get a palindrome (23245066054232).

The spelling of 23232033031000 in words is "twenty-three trillion, two hundred thirty-two billion, thirty-three million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2225 3560 3697 4450 7394 8900 11125 14788 17800 18485 22250 29576 36970 44500 70607 73940 89000 92425 141214 147880 184850 282428 329033 353035 369700 462125 564856 658066 706070 739400 924250 1316132 1412140 1645165 1765175 1848500 2632264 2824280 3290330 3530350 3697000 6284023 6580660 7060700 8225825 8825875 12568046 13161320 14121400 16451650 17651750 25136092 31420115 32903300 35303500 41129125 50272184 62840230 65806600 70607000 82258250 125680460 157100575 164516500 251360920 261034079 314201150 329033000 522068158 628402300 785502875 1044136316 1256804600 1305170395 1571005750 2088272632 2610340790 3142011500 5220681580 6284023000 6525851975 10441363160 13051703950 23232033031 26103407900 32629259875 46464066062 52206815800 65258519750 92928132124 116160165155 130517039500 185856264248 232320330310 261034079000 464640660620 580800825775 929281321240 1161601651550 2323203303100 2904004128875 4646406606200 5808008257750 11616016515500 23232033031000