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2274321720 = 2335119411831
BaseRepresentation
bin1000011110001111…
…0110010100111000
312212111112111212210
42013203312110320
514124211243340
61013402335120
7110234262366
oct20743662470
95774474783
102274321720
11a67882630
125357ba4a0
132a32542c8
141780a6636
15d49ed180
hex878f6538

2274321720 has 128 divisors (see below), whose sum is σ = 7455214080. Its totient is φ = 550464000.

The previous prime is 2274321713. The next prime is 2274321769. The reversal of 2274321720 is 271234722.

2274321720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241205 + ... + 1243035.

It is an arithmetic number, because the mean of its divisors is an integer number (58243860).

Almost surely, 22274321720 is an apocalyptic number.

2274321720 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 2274321720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727607040).

2274321720 is an abundant number, since it is smaller than the sum of its proper divisors (5180892360).

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

2274321720 is a wasteful number, since it uses less digits than its factorization.

2274321720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 2274321720 is about 47689.8492344021. The cubic root of 2274321720 is about 1315.0753367567.

The spelling of 2274321720 in words is "two billion, two hundred seventy-four million, three hundred twenty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 941 1320 1831 1882 2823 3662 3764 4705 5493 5646 7324 7528 9155 9410 10351 10986 11292 14115 14648 18310 18820 20141 20702 21972 22584 27465 28230 31053 36620 37640 40282 41404 43944 51755 54930 56460 60423 62106 73240 80564 82808 100705 103510 109860 112920 120846 124212 155265 161128 201410 207020 219720 241692 248424 302115 310530 402820 414040 483384 604230 621060 805640 1208460 1242120 1722971 2416920 3445942 5168913 6891884 8614855 10337826 13783768 17229710 18952681 20675652 25844565 34459420 37905362 41351304 51689130 56858043 68918840 75810724 94763405 103378260 113716086 151621448 189526810 206756520 227432172 284290215 379053620 454864344 568580430 758107240 1137160860 2274321720