Search a number
-
+
220648493448 = 233317337178307
BaseRepresentation
bin1100110101111110101…
…1001101000110001000
3210002112101001211112000
43031133223031012020
512103342003242243
6245210422551000
721640606151235
oct3153753150610
9702471054460
10220648493448
118563835aa19
123691a898460
1317a65171136
14a97257478c
155b160db5d3
hex335facd188

220648493448 has 128 divisors (see below), whose sum is σ = 650895523200. Its totient is φ = 69017260032.

The previous prime is 220648493423. The next prime is 220648493473. The reversal of 220648493448 is 844394846022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220648493423) and next prime (220648493473).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 220648493394 and 220648493403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148311 + ... + 1326617.

It is an arithmetic number, because the mean of its divisors is an integer number (5085121275).

Almost surely, 2220648493448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220648493448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325447761600).

220648493448 is an abundant number, since it is smaller than the sum of its proper divisors (430247029752).

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

220648493448 is a wasteful number, since it uses less digits than its factorization.

220648493448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178676 (or 178666 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 220648493448 in words is "two hundred twenty billion, six hundred forty-eight million, four hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 337 408 459 612 674 918 1011 1224 1348 1836 2022 2696 3033 3672 4044 5729 6066 8088 9099 11458 12132 17187 18198 22916 24264 34374 36396 45832 51561 68748 72792 103122 137496 154683 178307 206244 309366 356614 412488 534921 618732 713228 1069842 1237464 1426456 1604763 2139684 3031219 3209526 4279368 4814289 6062438 6419052 9093657 9628578 12124876 12838104 18187314 19257156 24249752 27280971 36374628 38514312 54561942 60089459 72749256 81842913 109123884 120178918 163685826 180268377 218247768 240357836 327371652 360536754 480715672 540805131 654743304 721073508 1021520803 1081610262 1442147016 1622415393 2043041606 2163220524 3064562409 3244830786 4086083212 4326441048 6129124818 6489661572 8172166424 9193687227 12258249636 12979323144 18387374454 24516499272 27581061681 36774748908 55162123362 73549497816 110324246724 220648493448