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2281202064 = 24326723529
BaseRepresentation
bin1000011111111000…
…0110000110010000
312212222111001221100
42013332012012100
514132441431224
61014210024400
7110346616611
oct20776060620
95788431840
102281202064
11a70751969
12537b78100
132a47c2c0b
14178d77c08
15d540bac9
hex87f86190

2281202064 has 90 divisors (see below), whose sum is σ = 6482742630. Its totient is φ = 748839168.

The previous prime is 2281202041. The next prime is 2281202081. The reversal of 2281202064 is 4602021822.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1489342464 + 791859600 = 38592^2 + 28140^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 644652 + ... + 648180.

Almost surely, 22281202064 is an apocalyptic number.

2281202064 is a gapful number since it is divisible by the number (24) 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 2281202064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241371315).

2281202064 is an abundant number, since it is smaller than the sum of its proper divisors (4201540566).

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

2281202064 is a wasteful number, since it uses less digits than its factorization.

2281202064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2281202064 is about 47761.9311167377. The cubic root of 2281202064 is about 1316.4001363903.

Adding to 2281202064 its reverse (4602021822), we get a palindrome (6883223886).

The spelling of 2281202064 in words is "two billion, two hundred eighty-one million, two hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 3529 4489 4824 7058 8978 9648 10587 13467 14116 17956 21174 26934 28232 31761 35912 40401 42348 53868 56464 63522 71824 80802 84696 107736 127044 161604 169392 215472 236443 254088 323208 472886 508176 646416 709329 945772 1418658 1891544 2127987 2837316 3783088 4255974 5674632 8511948 11349264 15841681 17023896 31683362 34047792 47525043 63366724 95050086 126733448 142575129 190100172 253466896 285150258 380200344 570300516 760400688 1140601032 2281202064