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4222240422224 = 241122399909091
BaseRepresentation
bin111101011100010001001…
…000111111100101010000
3112221122100012020220012012
4331130101020333211100
51023134122022002344
612551400453322052
7614022024300206
oct75342110774520
915848305226165
104222240422224
111388707710200
1258236b936328
13248203a07956
141085010a7076
1574c6bbee29e
hex3d71123f950

4222240422224 has 60 divisors (see below), whose sum is σ = 8995647158400. Its totient is φ = 1918398081600.

The previous prime is 4222240422199. The next prime is 4222240422263.

4222240422224 is nontrivially palindromic in base 10.

4222240422224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4189919 + ... + 5099009.

It is an arithmetic number, because the mean of its divisors is an integer number (149927452640).

Almost surely, 24222240422224 is an apocalyptic number.

4222240422224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222240422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497823579200).

4222240422224 is an abundant number, since it is smaller than the sum of its proper divisors (4773406736176).

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

4222240422224 is a wasteful number, since it uses less digits than its factorization.

4222240422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911520 (or 911503 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4222240 and 422224, that added together give a palindrome (4644464).

The spelling of 4222240422224 in words is "four trillion, two hundred twenty-two billion, two hundred forty million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2399 4798 9596 19192 26389 38384 52778 105556 211112 290279 422224 580558 909091 1161116 1818182 2322232 3636364 4644464 7272728 10000001 14545456 20000002 40000004 80000008 110000011 160000016 220000022 440000044 880000088 1760000176 2180909309 4361818618 8723637236 17447274472 23990002399 34894548944 47980004798 95960009596 191920019192 263890026389 383840038384 527780052778 1055560105556 2111120211112 4222240422224