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42222424212 = 22326731355927
BaseRepresentation
bin100111010100101001…
…110001000010010100
311000222112221101101100
4213110221301002110
51142432420033322
631221405030100
73023211453453
oct472451610224
9130875841340
1042222424212
11169a7504271
128224255330
133c9b635887
142087804b9a
151171b82dac
hex9d4a71094

42222424212 has 72 divisors (see below), whose sum is σ = 108669893696. Its totient is φ = 13819538304.

The previous prime is 42222424177. The next prime is 42222424217. The reversal of 42222424212 is 21242422224.

42222424212 is a `hidden beast` number, since 4 + 2 + 2 + 22 + 424 + 212 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42222424217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726993 + ... + 782919.

Almost surely, 242222424212 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 42222424212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54334946848).

42222424212 is an abundant number, since it is smaller than the sum of its proper divisors (66447469484).

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

42222424212 is a wasteful number, since it uses less digits than its factorization.

42222424212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56317 (or 56312 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

Adding to 42222424212 its reverse (21242422224), we get a palindrome (63464846436).

The spelling of 42222424212 in words is "forty-two billion, two hundred twenty-two million, four hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 313 402 603 626 804 939 1206 1252 1878 2412 2817 3756 5634 11268 20971 41942 55927 62913 83884 111854 125826 167781 188739 223708 251652 335562 377478 503343 671124 754956 1006686 2013372 3747109 7494218 11241327 14988436 17505151 22482654 33723981 35010302 44965308 52515453 67447962 70020604 105030906 134895924 157546359 210061812 315092718 630185436 1172845117 2345690234 3518535351 4691380468 7037070702 10555606053 14074141404 21111212106 42222424212