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2221044144 = 243115983859
BaseRepresentation
bin1000010001100010…
…0111000110110000
312201210021201210020
42010120213012300
514022041403034
61004220403440
7106016364234
oct20430470660
95653251706
102221044144
11a3a7a3380
1251b9a6580
132951bc107
14170d985c4
15ceec7249
hex846271b0

2221044144 has 160 divisors (see below), whose sum is σ = 6449587200. Its totient is φ = 652903680.

The previous prime is 2221044143. The next prime is 2221044149. The reversal of 2221044144 is 4414401222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2221044143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585187 + ... + 2586045.

It is an arithmetic number, because the mean of its divisors is an integer number (40309920).

Almost surely, 22221044144 is an apocalyptic number.

2221044144 is a gapful number since it is divisible by the number (24) 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 2221044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224793600).

2221044144 is an abundant number, since it is smaller than the sum of its proper divisors (4228543056).

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

2221044144 is a wasteful number, since it uses less digits than its factorization.

2221044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2221044144 is about 47127.9550161048. The cubic root of 2221044144 is about 1304.7252386122.

Adding to 2221044144 its reverse (4414401222), we get a palindrome (6635445366).

The spelling of 2221044144 in words is "two billion, two hundred twenty-one million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 83 88 118 132 166 176 177 236 249 264 332 354 472 498 528 649 664 708 859 913 944 996 1298 1328 1416 1718 1826 1947 1992 2577 2596 2739 2832 3436 3652 3894 3984 4897 5154 5192 5478 6872 7304 7788 9449 9794 10308 10384 10956 13744 14608 14691 15576 18898 19588 20616 21912 28347 29382 31152 37796 39176 41232 43824 50681 53867 56694 58764 71297 75592 78352 101362 107734 113388 117528 142594 151184 152043 161601 202724 213891 215468 226776 235056 285188 304086 323202 405448 427782 430936 453552 557491 570376 608172 646404 784267 810896 855564 861872 1114982 1140752 1216344 1292808 1568534 1672473 1711128 2229964 2352801 2432688 2585616 3137068 3344946 3422256 4206523 4459928 4705602 6274136 6689892 8413046 8919856 9411204 12548272 12619569 13379784 16826092 18822408 25239138 26759568 33652184 37644816 46271753 50478276 67304368 92543506 100956552 138815259 185087012 201913104 277630518 370174024 555261036 740348048 1110522072 2221044144