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33002231002230 = 2357976592458481
BaseRepresentation
bin1111000000011111011100…
…10000010111010001110110
311022211222112012222200122110
413200033232100113101312
513311202032114032410
6154105003212511450
76644222023014060
oct740175620272166
9138758465880573
1033002231002230
11a574193041826
12385007847b586
1315551352369c9
148214606b0730
153c36e5310720
hex1e03ee417476

33002231002230 has 128 divisors (see below), whose sum is σ = 91592418677760. Its totient is φ = 7454268702720.

The previous prime is 33002231002211. The next prime is 33002231002241. The reversal of 33002231002230 is 3220013220033.

It is a super-2 number, since 2×330022310022302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33002231002197 and 33002231002206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12194590 + ... + 14653070.

It is an arithmetic number, because the mean of its divisors is an integer number (715565770920).

Almost surely, 233002231002230 is an apocalyptic number.

33002231002230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33002231002230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45796209338880).

33002231002230 is an abundant number, since it is smaller than the sum of its proper divisors (58590187675530).

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

33002231002230 is a wasteful number, since it uses less digits than its factorization.

33002231002230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459254.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33002231002230 its reverse (3220013220033), we get a palindrome (36222244222263).

The spelling of 33002231002230 in words is "thirty-three trillion, two billion, two hundred thirty-one million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 485 582 659 679 970 1318 1358 1455 1977 2037 2910 3295 3395 3954 4074 4613 6590 6790 9226 9885 10185 13839 19770 20370 23065 27678 46130 63923 69195 127846 138390 191769 319615 383538 447461 639230 894922 958845 1342383 1917690 2237305 2458481 2684766 4474610 4916962 6711915 7375443 12292405 13423830 14750886 17209367 24584810 34418734 36877215 51628101 73754430 86046835 103256202 172093670 238472657 258140505 476945314 516281010 715417971 1192363285 1430835942 1620138979 1669308599 2384726570 3240277958 3338617198 3577089855 4860416937 5007925797 7154179710 8100694895 8346542995 9720833874 10015851594 11340972853 16201389790 16693085990 22681945706 24302084685 25039628985 34022918559 48604169370 50079257970 56704864265 68045837118 113409728530 157153480963 170114592795 314306961926 340229185590 471460442889 785767404815 942920885778 1100074366741 1571534809630 2200148733482 2357302214445 3300223100223 4714604428890 5500371833705 6600446200446 11000743667410 16501115501115 33002231002230