Search a number
-
+
221220300211320 = 233517151997134767
BaseRepresentation
bin110010010011001011011101…
…011010010100010001111000
31002000021110021002020020222010
4302103023131122110101320
5212443433133323230240
62102255111500125520
764411432160106144
oct6223133532242170
91060243232206863
10221220300211320
11645400032a4723
1220989b86b368a0
139658ca57a8277
143c8b1964bc224
151a896aadcd280
hexc932dd694478

221220300211320 has 128 divisors (see below), whose sum is σ = 702746108928000. Its totient is φ = 55518296918016.

The previous prime is 221220300211297. The next prime is 221220300211399. The reversal of 221220300211320 is 23112003022122.

It is a super-2 number, since 2×2212203002113202 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 27438577 + ... + 34573343.

It is an arithmetic number, because the mean of its divisors is an integer number (5490203976000).

Almost surely, 2221220300211320 is an apocalyptic number.

221220300211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220300211320 is an abundant number, since it is smaller than the sum of its proper divisors (481525808716680).

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

221220300211320 is a wasteful number, since it uses less digits than its factorization.

221220300211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149997 (or 7149993 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221220300211320 its reverse (23112003022122), we get a palindrome (244332303233442).

The spelling of 221220300211320 in words is "two hundred twenty-one trillion, two hundred twenty billion, three hundred million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 15199 30398 45597 60796 75995 91194 121592 151990 182388 227985 258383 303980 364776 455970 516766 607960 775149 911940 1033532 1291915 1550298 1823880 2067064 2583830 3100596 3875745 5167660 6201192 7134767 7751490 10335320 14269534 15502980 21404301 28539068 31005960 35673835 42808602 57078136 71347670 85617204 107021505 121291039 142695340 171234408 214043010 242582078 285390680 363873117 428086020 485164156 606455195 727746234 856172040 970328312 1212910390 1455492468 1819365585 2425820780 2910984936 3638731170 4851641560 7277462340 14554924680 108441323633 216882647266 325323970899 433765294532 542206618165 650647941798 867530589064 1084413236330 1301295883596 1626619854495 1843502501761 2168826472660 2602591767192 3253239708990 3687005003522 4337652945320 5530507505283 6506479417980 7374010007044 9217512508805 11061015010566 13012958835960 14748020014088 18435025017610 22122030021132 27652537526415 36870050035220 44244060042264 55305075052830 73740100070440 110610150105660 221220300211320