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2022412672 = 27722911119
BaseRepresentation
bin111100010001011…
…1001000110000000
312012221112012122001
41320202321012000
513120214201142
6532403153344
7101055136600
oct17042710600
95187465561
102022412672
11948665635
12485375854
13262cc39b7
14152850c00
15bc83d5b7
hex788b9180

2022412672 has 96 divisors (see below), whose sum is σ = 4848876000. Its totient is φ = 836785152.

The previous prime is 2022412661. The next prime is 2022412681. The reversal of 2022412672 is 2762142202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2022412672.

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, 176329 + ... + 187447.

It is an arithmetic number, because the mean of its divisors is an integer number (50509125).

Almost surely, 22022412672 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 2022412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424438000).

2022412672 is an abundant number, since it is smaller than the sum of its proper divisors (2826463328).

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

2022412672 is a wasteful number, since it uses less digits than its factorization.

2022412672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11176 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2022412672 is about 44971.2427224332. The cubic root of 2022412672 is about 1264.6099443672.

Adding to 2022412672 its reverse (2762142202), we get a palindrome (4784554874).

It can be divided in two parts, 20224 and 12672, that added together give a triangular number (32896 = T256).

The spelling of 2022412672 in words is "two billion, twenty-two million, four hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 392 406 448 464 784 812 896 928 1421 1568 1624 1856 2842 3136 3248 3712 5684 6272 6496 11119 11368 12992 22238 22736 25984 44476 45472 77833 88952 90944 155666 177904 181888 311332 322451 355808 544831 622664 644902 711616 1089662 1245328 1289804 1423232 2179324 2257157 2490656 2579608 4358648 4514314 4981312 5159216 8717296 9028628 9962624 10318432 15800099 17434592 18057256 20636864 31600198 34869184 36114512 41273728 63200396 69738368 72229024 126400792 144458048 252801584 288916096 505603168 1011206336 2022412672