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2270272368 = 2437133071693
BaseRepresentation
bin1000011101010001…
…1001101101110000
312212012220210012210
42013110121231300
514122142203433
61013135452120
7110154665610
oct20724315560
95765823183
102270272368
11a65567261
12534387040
132a2467140
14177730a40
15d449d463
hex87519b70

2270272368 has 160 divisors (see below), whose sum is σ = 7246091776. Its totient is φ = 596450304.

The previous prime is 2270272363. The next prime is 2270272373. The reversal of 2270272368 is 8632720722.

It is an interprime number because it is at equal distance from previous prime (2270272363) and next prime (2270272373).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270272363) 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, 1340130 + ... + 1341822.

Almost surely, 22270272368 is an apocalyptic number.

2270272368 is a gapful number since it is divisible by the number (28) 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 2270272368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623045888).

2270272368 is an abundant number, since it is smaller than the sum of its proper divisors (4975819408).

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

2270272368 is a wasteful number, since it uses less digits than its factorization.

2270272368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2270272368 is about 47647.3752477511. The cubic root of 2270272368 is about 1314.2943908780.

The spelling of 2270272368 in words is "two billion, two hundred seventy million, two hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 307 312 336 364 546 614 624 728 921 1092 1228 1456 1693 1842 2149 2184 2456 3386 3684 3991 4298 4368 4912 5079 6447 6772 7368 7982 8596 10158 11851 11973 12894 13544 14736 15964 17192 20316 22009 23702 23946 25788 27088 27937 31928 34384 35553 40632 44018 47404 47892 51576 55874 63856 66027 71106 81264 83811 88036 94808 95784 103152 111748 132054 142212 154063 167622 176072 189616 191568 223496 264108 284424 308126 335244 352144 446992 462189 519751 528216 568848 616252 670488 924378 1039502 1056432 1232504 1340976 1559253 1848756 2079004 2465008 3118506 3638257 3697512 4158008 6237012 6756763 7276514 7395024 8316016 10914771 12474024 13513526 14553028 20270289 21829542 24948048 27027052 29106056 40540578 43659084 47297341 54054104 58212112 81081156 87318168 94594682 108108208 141892023 162162312 174636336 189189364 283784046 324324624 378378728 567568092 756757456 1135136184 2270272368