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20226444240 = 2435449187699
BaseRepresentation
bin10010110101100101…
…110000101111010000
31221012121121211100110
4102311211300233100
5312410432203430
613143014521320
71314141640122
oct226545605720
957177554313
1020226444240
11863a333a22
123b05966240
131ba4590602
14d9c3cd212
157d5a9a7b0
hex4b5970bd0

20226444240 has 80 divisors (see below), whose sum is σ = 62841960000. Its totient is φ = 5381677056.

The previous prime is 20226444179. The next prime is 20226444247. The reversal of 20226444240 is 4244462202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-5 number, since 5×202264442405 (a number of 53 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20226444198 and 20226444207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20226444247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13911 + ... + 201609.

It is an arithmetic number, because the mean of its divisors is an integer number (785524500).

Almost surely, 220226444240 is an apocalyptic number.

20226444240 is a gapful number since it is divisible by the number (20) 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 20226444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31420980000).

20226444240 is an abundant number, since it is smaller than the sum of its proper divisors (42615515760).

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

20226444240 is a wasteful number, since it uses less digits than its factorization.

20226444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188164 (or 188158 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The spelling of 20226444240 in words is "twenty billion, two hundred twenty-six million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 449 898 1347 1796 2245 2694 3592 4490 5388 6735 7184 8980 10776 13470 17960 21552 26940 35920 53880 107760 187699 375398 563097 750796 938495 1126194 1501592 1876990 2252388 2815485 3003184 3753980 4504776 5630970 7507960 9009552 11261940 15015920 22523880 45047760 84276851 168553702 252830553 337107404 421384255 505661106 674214808 842768510 1011322212 1264152765 1348429616 1685537020 2022644424 2528305530 3371074040 4045288848 5056611060 6742148080 10113222120 20226444240