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2228616720048 = 243718346716871
BaseRepresentation
bin100000011011100011111…
…010000110111010110000
321220001110010112112110210
4200123203322012322300
5243003201340020143
64423451250424120
7320004125363535
oct40334372067260
97801403475423
102228616720048
1178a173047344
122bbb07292040
131322084a2394
1479c193bad8c
153ce888da033
hex206e3e86eb0

2228616720048 has 160 divisors (see below), whose sum is σ = 5921692987392. Its totient is φ = 721992812800.

The previous prime is 2228616720023. The next prime is 2228616720053. The reversal of 2228616720048 is 8400276168222.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2228616719979 and 2228616720006.

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, 132089053 + ... + 132105923.

Almost surely, 22228616720048 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 2228616720048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960846493696).

2228616720048 is an abundant number, since it is smaller than the sum of its proper divisors (3693076267344).

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

2228616720048 is a wasteful number, since it uses less digits than its factorization.

2228616720048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17503 (or 17497 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 2228616720048 in words is "two trillion, two hundred twenty-eight billion, six hundred sixteen million, seven hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 83 142 166 213 249 284 332 426 467 498 568 664 852 934 996 1136 1328 1401 1704 1868 1992 2802 3408 3736 3984 5604 5893 7472 11208 11786 16871 17679 22416 23572 33157 33742 35358 38761 47144 50613 66314 67484 70716 77522 94288 99471 101226 116283 132628 134968 141432 155044 198942 202452 232566 265256 269936 282864 310088 397884 404904 465132 530512 620176 795768 809808 930264 1197841 1400293 1591536 1860528 2395682 2752031 2800586 3593523 4200879 4791364 5504062 5601172 7187046 7878757 8256093 8401758 9582728 11008124 11202344 14374092 15757514 16512186 16803516 19165456 22016248 22404688 23636271 28748184 31515028 33024372 33607032 44032496 47272542 57496368 63030056 66048744 67214064 94545084 99420803 126060112 132097488 189090168 198841606 298262409 378180336 397683212 559391747 596524818 653936831 795366424 1118783494 1193049636 1307873662 1590732848 1678175241 1961810493 2237566988 2386099272 2615747324 3356350482 3923620986 4475133976 4772198544 5231494648 6712700964 7847241972 8950267952 10462989296 13425401928 15694483944 26850803856 31388967888 46429515001 92859030002 139288545003 185718060004 278577090006 371436120008 557154180012 742872240016 1114308360024 2228616720048