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2281262368 = 257112174951
BaseRepresentation
bin1000011111111001…
…0100110100100000
312212222121010122211
42013332110310200
514133000343433
61014211211504
7110350260460
oct20776246440
95788533584
102281262368
11a70793200
12537ba6b94
132a48144b8
14178d91ba0
15d541e8cd
hex87f94d20

2281262368 has 144 divisors (see below), whose sum is σ = 5974964352. Its totient is φ = 836352000.

The previous prime is 2281262353. The next prime is 2281262371. The reversal of 2281262368 is 8632621822.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2281262368.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458293 + ... + 463243.

It is an arithmetic number, because the mean of its divisors is an integer number (41492808).

Almost surely, 22281262368 is an apocalyptic number.

2281262368 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 2281262368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987482176).

2281262368 is an abundant number, since it is smaller than the sum of its proper divisors (3693701984).

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

2281262368 is a wasteful number, since it uses less digits than its factorization.

2281262368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4988 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 2281262368 is about 47762.5624103230. The cubic root of 2281262368 is about 1316.4117360487.

The spelling of 2281262368 in words is "two billion, two hundred eighty-one million, two hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 121 136 154 176 187 224 238 242 272 308 352 374 476 484 544 616 748 847 952 968 1232 1309 1496 1694 1904 1936 2057 2464 2618 2992 3388 3808 3872 4114 4951 5236 5984 6776 8228 9902 10472 13552 14399 16456 19804 20944 27104 28798 32912 34657 39608 41888 54461 57596 65824 69314 79216 84167 108922 115192 138628 158432 168334 217844 230384 277256 336668 381227 435688 460768 554512 589169 599071 673336 762454 871376 925837 1109024 1178338 1198142 1346672 1524908 1742752 1851674 2356676 2396284 2693344 3049816 3703348 4193497 4713352 4792568 6099632 6480859 7406696 8386994 9426704 9585136 10184207 12199264 12961718 14813392 16773988 18853408 19170272 20368414 25923436 29626784 33547976 40736828 51846872 67095952 71289449 81473656 103693744 134191904 142578898 162947312 207387488 285157796 325894624 570315592 1140631184 2281262368