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422224202422224 = 24325971096990691
BaseRepresentation
bin110000000000000101011101…
…1100110011101011111010000
32001100222020110121222121001100
41200000022323212131133100
5420320210131310002344
64053555042034104400
7154635456225423126
oct14000127346353720
92040866417877040
10422224202422224
111125963079a5754
123b431a6711b100
1315179757605cc7
147639a908c5916
1533c304908e569
hex18002bb99d7d0

422224202422224 has 120 divisors (see below), whose sum is σ = 1201838370501600. Its totient is φ = 138336471463680.

The previous prime is 422224202422219. The next prime is 422224202422241.

422224202422224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 2 + 4 + 2 + 0 + 2 + 422 + 224 = 666.

422224202422224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4222242024222242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56902719 + ... + 63893409.

It is an arithmetic number, because the mean of its divisors is an integer number (10015319754180).

Almost surely, 2422224202422224 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 422224202422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600919185250800).

422224202422224 is an abundant number, since it is smaller than the sum of its proper divisors (779614168079376).

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

422224202422224 is a wasteful number, since it uses less digits than its factorization.

422224202422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997873 (or 6997864 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 42222420 and 2422224, that added together give a palindrome (44644644).

The spelling of 422224202422224 in words is "four hundred twenty-two trillion, two hundred twenty-four billion, two hundred two million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 7109 8496 14218 21327 28436 42654 56872 63981 85308 113744 127962 170616 255924 341232 419431 511848 838862 1023696 1258293 1677724 2516586 3355448 3774879 5033172 6710896 6990691 7549758 10066344 13981382 15099516 20132688 20972073 27962764 30199032 41944146 55925528 60398064 62916219 83888292 111851056 125832438 167776584 251664876 335553168 412450769 503329752 824901538 1006659504 1237352307 1649803076 2474704614 3299606152 3712056921 4949409228 6599212304 7424113842 9898818456 14848227684 19797636912 29696455368 49696822319 59392910736 99393644638 149090466957 198787289276 298180933914 397574578552 447271400871 596361867828 795149157104 894542801742 1192723735656 1789085603484 2385447471312 2932112516821 3578171206968 5864225033642 7156342413936 8796337550463 11728450067284 17592675100926 23456900134568 26389012651389 35185350201852 46913800269136 52778025302778 70370700403704 105556050605556 140741400807408 211112101211112 422224202422224