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42222022224 = 24319101458377
BaseRepresentation
bin100111010100101000…
…001110111001010000
311000222112011221221220
4213110220032321100
51142432314202344
631221352245040
73023205160464
oct472450167120
9130875157856
1042222022224
11169a725a248
1282240a0780
133c9b524905
14208773c4a4
151171b03c19
hex9d4a0ee50

42222022224 has 80 divisors (see below), whose sum is σ = 115951298880. Its totient is φ = 13201228800.

The previous prime is 42222022211. The next prime is 42222022301.

42222022224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42222022194 and 42222022203.

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, 137077 + ... + 321300.

It is an arithmetic number, because the mean of its divisors is an integer number (1449391236).

Almost surely, 242222022224 is an apocalyptic number.

It is an amenable number.

42222022224 is an abundant number, since it is smaller than the sum of its proper divisors (73729276656).

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

42222022224 is a wasteful number, since it uses less digits than its factorization.

42222022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458508 (or 458502 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 422220 and 22224, that added together give a palindrome (444444).

The spelling of 42222022224 in words is "forty-two billion, two hundred twenty-two million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 101 114 152 202 228 303 304 404 456 606 808 912 1212 1616 1919 2424 3838 4848 5757 7676 11514 15352 23028 30704 46056 92112 458377 916754 1375131 1833508 2750262 3667016 5500524 7334032 8709163 11001048 17418326 22002096 26127489 34836652 46296077 52254978 69673304 92592154 104509956 138888231 139346608 185184308 209019912 277776462 370368616 418039824 555552924 740737232 879625463 1111105848 1759250926 2222211696 2638876389 3518501852 5277752778 7037003704 10555505556 14074007408 21111011112 42222022224