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2274428736 = 263222317707
BaseRepresentation
bin1000011110010001…
…0000011101000000
312212111201221200100
42013210100131000
514124223204421
61013404522400
7110235216366
oct20744203500
95774657610
102274428736
11a67945a78
12535850400
132a3290c28
141780d3636
15d4a1ec26
hex87910740

2274428736 has 84 divisors (see below), whose sum is σ = 6548843392. Its totient is φ = 754700544.

The previous prime is 2274428641. The next prime is 2274428753. The reversal of 2274428736 is 6378244722.

It is a junction number, because it is equal to n+sod(n) for n = 2274428691 and 2274428700.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 119595 + ... + 137301.

Almost surely, 22274428736 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 2274428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274421696).

2274428736 is an abundant number, since it is smaller than the sum of its proper divisors (4274414656).

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

2274428736 is a wasteful number, since it uses less digits than its factorization.

2274428736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17948 (or 17935 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 2274428736 is about 47690.9712209764. The cubic root of 2274428736 is about 1315.0959629641.

The spelling of 2274428736 in words is "two billion, two hundred seventy-four million, four hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 223 288 446 576 669 892 1338 1784 2007 2676 3568 4014 5352 7136 8028 10704 14272 16056 17707 21408 32112 35414 42816 53121 64224 70828 106242 128448 141656 159363 212484 283312 318726 424968 566624 637452 849936 1133248 1274904 1699872 2549808 3399744 3948661 5099616 7897322 10199232 11845983 15794644 23691966 31589288 35537949 47383932 63178576 71075898 94767864 126357152 142151796 189535728 252714304 284303592 379071456 568607184 758142912 1137214368 2274428736