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2228031792 = 24337739997
BaseRepresentation
bin1000010011001101…
…0001000100110000
312202021102202001000
42010303101010300
514030334004132
61005030242000
7106132646340
oct20463210460
95667382030
102228031792
11a43736298
125221b6300
1329679780c
14171c96d20
15d090787c
hex84cd1130

2228031792 has 160 divisors (see below), whose sum is σ = 7326118400. Its totient is φ = 635081472.

The previous prime is 2228031769. The next prime is 2228031797. The reversal of 2228031792 is 2971308222.

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

It is not an unprimeable number, because it can be changed into a prime (2228031797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2234238 + ... + 2235234.

It is an arithmetic number, because the mean of its divisors is an integer number (45788240).

Almost surely, 22228031792 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 2228031792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663059200).

2228031792 is an abundant number, since it is smaller than the sum of its proper divisors (5098086608).

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

2228031792 is a wasteful number, since it uses less digits than its factorization.

2228031792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2228031792 is about 47202.0316511906. The cubic root of 2228031792 is about 1306.0920756798.

The spelling of 2228031792 in words is "two billion, two hundred twenty-eight million, thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 739 756 997 1008 1478 1512 1994 2217 2956 2991 3024 3988 4434 5173 5912 5982 6651 6979 7976 8868 8973 10346 11824 11964 13302 13958 15519 15952 17736 17946 19953 20692 20937 23928 26604 26919 27916 31038 35472 35892 39906 41384 41874 46557 47856 53208 53838 55832 62076 62811 71784 79812 82768 83748 93114 106416 107676 111664 124152 125622 139671 143568 159624 167496 186228 188433 215352 248304 251244 279342 319248 334992 372456 376866 430704 502488 558684 736783 744912 753732 1004976 1117368 1473566 1507464 2210349 2234736 2947132 3014928 4420698 5157481 5894264 6631047 8841396 10314962 11788528 13262094 15472443 17682792 19893141 20629924 26524188 30944886 35365584 39786282 41259848 46417329 53048376 61889772 79572564 82519696 92834658 106096752 123779544 139251987 159145128 185669316 247559088 278503974 318290256 371338632 557007948 742677264 1114015896 2228031792