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2238752340 = 22325113730559
BaseRepresentation
bin1000010101110000…
…1010011001010100
312210000121101212100
42011130022121110
514041110033330
61010052122100
7106323036516
oct20534123124
95700541770
102238752340
11a49798850
12525906330
13298a7c336
14173487bb6
15d1824060
hex8570a654

2238752340 has 144 divisors (see below), whose sum is σ = 7608706560. Its totient is φ = 528042240.

The previous prime is 2238752293. The next prime is 2238752359. The reversal of 2238752340 is 432578322.

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

It is a junction number, because it is equal to n+sod(n) for n = 2238752295 and 2238752304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57981 + ... + 88539.

It is an arithmetic number, because the mean of its divisors is an integer number (52838240).

Almost surely, 22238752340 is an apocalyptic number.

2238752340 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 2238752340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804353280).

2238752340 is an abundant number, since it is smaller than the sum of its proper divisors (5369954220).

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

2238752340 is a wasteful number, since it uses less digits than its factorization.

2238752340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30622 (or 30617 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2238752340 is about 47315.4556144184. The cubic root of 2238752340 is about 1308.1835516615.

The spelling of 2238752340 in words is "two billion, two hundred thirty-eight million, seven hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 30559 36630 61118 73260 91677 122236 152795 183354 275031 305590 336149 366708 458385 550062 611180 672298 916770 1008447 1100124 1130683 1344596 1375155 1680745 1833540 2016894 2261366 2750310 3025341 3361490 3392049 4033788 4522732 5042235 5500620 5653415 6050682 6722980 6784098 10084470 10176147 11306830 12101364 12437513 13568196 15126705 16960245 20168940 20352294 22613660 24875026 30253410 33920490 37312539 40704588 49750052 50880735 60506820 62187565 67840980 74625078 101761470 111937617 124375130 149250156 186562695 203522940 223875234 248750260 373125390 447750468 559688085 746250780 1119376170 2238752340