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4022231000224 = 253137367729803
BaseRepresentation
bin111010100001111111101…
…001100110010010100000
3112020112002012020112010211
4322201333221212102200
51011400012114001344
612315442025303504
7563411430251623
oct72417751462240
915215065215124
104022231000224
1113109005a4128
1254b651034b94
132323aa76a038
14dc969a51dba
156e962a18334
hex3a87fa664a0

4022231000224 has 96 divisors (see below), whose sum is σ = 8397700932096. Its totient is φ = 1893061186560.

The previous prime is 4022231000219. The next prime is 4022231000239. The reversal of 4022231000224 is 4220001322204.

4022231000224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4022231000195 and 4022231000204.

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, 134945707 + ... + 134975509.

It is an arithmetic number, because the mean of its divisors is an integer number (87476051376).

Almost surely, 24022231000224 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 4022231000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198850466048).

4022231000224 is an abundant number, since it is smaller than the sum of its proper divisors (4375469931872).

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

4022231000224 is a wasteful number, since it uses less digits than its factorization.

4022231000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33558 (or 33550 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4022231000224 its reverse (4220001322204), we get a palindrome (8242232322428).

The spelling of 4022231000224 in words is "four trillion, twenty-two billion, two hundred thirty-one million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 992 1147 1184 2294 3677 4588 7354 9176 14708 18352 29416 29803 36704 58832 59606 113987 117664 119212 136049 227974 238424 272098 455948 476848 544196 911896 923893 953696 1088392 1102711 1823792 1847786 2176784 2205422 3647584 3695572 4217519 4353568 4410844 7391144 8435038 8821688 14782288 16870076 17643376 29564576 33740152 34184041 35286752 67480304 68368082 109585631 134960608 136736164 219171262 273472328 438342524 546944656 876685048 1093889312 1753370096 3397154561 3506740192 4054668347 6794309122 8109336694 13588618244 16218673388 27177236488 32437346776 54354472976 64874693552 108708945952 125694718757 129749387104 251389437514 502778875028 1005557750056 2011115500112 4022231000224