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233011032320 = 2851146735437
BaseRepresentation
bin1101100100000010001…
…0100011000100000000
3211021102221100212201002
43121000202203010000
512304201311013240
6255013243031132
722556142044513
oct3310042430400
9737387325632
10233011032320
118a9017203a0
12391aab0b4a8
1318c8545c1b1
14b3c63a4d7a
1560db5c0d15
hex36408a3100

233011032320 has 144 divisors (see below), whose sum is σ = 610194731328. Its totient is φ = 84547461120.

The previous prime is 233011032301. The next prime is 233011032347. The reversal of 233011032320 is 23230110332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233011032292 and 233011032301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6557642 + ... + 6593078.

It is an arithmetic number, because the mean of its divisors is an integer number (4237463412).

Almost surely, 2233011032320 is an apocalyptic number.

233011032320 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 233011032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305097365664).

233011032320 is an abundant number, since it is smaller than the sum of its proper divisors (377183699008).

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

233011032320 is a wasteful number, since it uses less digits than its factorization.

233011032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35936 (or 35922 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 233011032320 its reverse (23230110332), we get a palindrome (256241142652).

The spelling of 233011032320 in words is "two hundred thirty-three billion, eleven million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 467 640 704 880 934 1280 1408 1760 1868 2335 2816 3520 3736 4670 5137 7040 7472 9340 10274 14080 14944 18680 20548 25685 29888 35437 37360 41096 51370 59776 70874 74720 82192 102740 119552 141748 149440 164384 177185 205480 283496 298880 328768 354370 389807 410960 566992 597760 657536 708740 779614 821920 1133984 1315072 1417480 1559228 1643840 1949035 2267968 2834960 3118456 3287680 3898070 4535936 5669920 6236912 6575360 7796140 9071872 11339840 12473824 15592280 16549079 22679680 24947648 31184560 33098158 45359360 49895296 62369120 66196316 82745395 99790592 124738240 132392632 165490790 182039869 249476480 264785264 330981580 364079738 498952960 529570528 661963160 728159476 910199345 1059141056 1323926320 1456318952 1820398690 2118282112 2647852640 2912637904 3640797380 4236564224 5295705280 5825275808 7281594760 10591410560 11650551616 14563189520 21182821120 23301103232 29126379040 46602206464 58252758080 116505516160 233011032320