Search a number
-
+
223212303440 = 2457612165119
BaseRepresentation
bin1100111111100001111…
…1010111010001010000
3210100011001022212122122
43033320133113101100
512124114322202230
6250313050153412
722061260163030
oct3177037272120
9710131285578
10223212303440
1186733587355
1237315422868
1318083382779
14ab36c758c0
155c1621dbe5
hex33f87d7450

223212303440 has 80 divisors (see below), whose sum is σ = 593212984320. Its totient is φ = 76516254720.

The previous prime is 223212303427. The next prime is 223212303553. The reversal of 223212303440 is 44303212322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2232123034403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3395201 + ... + 3460319.

It is an arithmetic number, because the mean of its divisors is an integer number (7415162304).

Almost surely, 2223212303440 is an apocalyptic number.

223212303440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223212303440 is an abundant number, since it is smaller than the sum of its proper divisors (370000680880).

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

223212303440 is a wasteful number, since it uses less digits than its factorization.

223212303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71260 (or 71254 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 223212303440 its reverse (44303212322), we get a palindrome (267515515762).

The spelling of 223212303440 in words is "two hundred twenty-three billion, two hundred twelve million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 6121 12242 24484 30605 42847 48968 61210 65119 85694 97936 122420 130238 171388 214235 244840 260476 325595 342776 428470 455833 489680 520952 651190 685552 856940 911666 1041904 1302380 1713880 1823332 2279165 2604760 3427760 3646664 4558330 5209520 7293328 9116660 18233320 36466640 398593399 797186798 1594373596 1992966995 2790153793 3188747192 3985933990 5580307586 6377494384 7971867980 11160615172 13950768965 15943735960 22321230344 27901537930 31887471920 44642460688 55803075860 111606151720 223212303440