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22224242196 = 22321391152127
BaseRepresentation
bin10100101100101010…
…110000011000010100
32010100211211110221100
4110230222300120110
5331003401222241
614113142350100
71414510641012
oct245452603024
963324743840
1022224242196
119475007112
124382a2b330
132132446590
14110b8738b2
158a11759b6
hex52cab0614

22224242196 has 72 divisors (see below), whose sum is σ = 60566897664. Its totient is φ = 6830591040.

The previous prime is 22224242113. The next prime is 22224242197. The reversal of 22224242196 is 69124242222.

22224242196 is a `hidden beast` number, since 2 + 2 + 224 + 2 + 421 + 9 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 22224242196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224242197) 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, 400285 + ... + 452411.

It is an arithmetic number, because the mean of its divisors is an integer number (841206912).

Almost surely, 222224242196 is an apocalyptic number.

22224242196 is a gapful number since it is divisible by the number (26) 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 22224242196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30283448832).

22224242196 is an abundant number, since it is smaller than the sum of its proper divisors (38342655468).

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

22224242196 is a wasteful number, since it uses less digits than its factorization.

22224242196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53061 (or 53056 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 22224242196 in words is "twenty-two billion, two hundred twenty-four million, two hundred forty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 911 1822 2733 3644 5466 8199 10932 11843 16398 23686 32796 35529 47372 52127 71058 104254 106587 142116 156381 208508 213174 312762 426348 469143 625524 677651 938286 1355302 1876572 2032953 2710604 4065906 6098859 8131812 12197718 24395436 47487697 94975394 142463091 189950788 284926182 427389273 569852364 617340061 854778546 1234680122 1709557092 1852020183 2469360244 3704040366 5556060549 7408080732 11112121098 22224242196