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223471968880 = 24523833733923
BaseRepresentation
bin1101000000011111110…
…1111010001001110000
3210100211010221020200011
43100013331322021300
512130132311001010
6250354523504304
722100562252106
oct3200775721160
9710733836604
10223471968880
1186857111896
1237388388094
13180c50ca664
14ab5d549c76
155c2de11a8a
hex3407f7a270

223471968880 has 160 divisors (see below), whose sum is σ = 550305778176. Its totient is φ = 84224228352.

The previous prime is 223471968877. The next prime is 223471968917. The reversal of 223471968880 is 88869174322.

It is a happy number.

223471968880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56962599 + ... + 56966521.

Almost surely, 2223471968880 is an apocalyptic number.

223471968880 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 223471968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275152889088).

223471968880 is an abundant number, since it is smaller than the sum of its proper divisors (326833809296).

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

223471968880 is a wasteful number, since it uses less digits than its factorization.

223471968880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 223471968880 in words is "two hundred twenty-three billion, four hundred seventy-one million, nine hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 83 92 115 166 184 230 332 368 373 415 460 664 746 830 920 1328 1492 1660 1840 1865 1909 2984 3320 3730 3818 3923 5968 6640 7460 7636 7846 8579 9545 14920 15272 15692 17158 19090 19615 29840 30544 30959 31384 34316 38180 39230 42895 61918 62768 68632 76360 78460 85790 90229 123836 137264 152720 154795 156920 171580 180458 247672 309590 313840 325609 343160 360916 451145 495344 619180 651218 686320 712057 721832 902290 1238360 1302436 1424114 1443664 1463279 1628045 1804580 2476720 2604872 2848228 2926558 3256090 3560285 3609160 5209744 5696456 5853116 6512180 7120570 7218320 7316395 7489007 11392912 11706232 13024360 14241140 14632790 14978014 23412464 26048720 28482280 29265580 29956028 33655417 37445035 56964560 58531160 59912056 67310834 74890070 117062320 119824112 121452157 134621668 149780140 168277085 242904314 269243336 299560280 336554170 485808628 538486672 599120560 607260785 673108340 971617256 1214521570 1346216680 1943234512 2429043140 2692433360 2793399611 4858086280 5586799222 9716172560 11173598444 13966998055 22347196888 27933996110 44694393776 55867992220 111735984440 223471968880