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2281701376 = 22717
BaseRepresentation
bin1000100000000000…
…0000000000000000
312220000102102212101
42020000000000000
514133103421001
61014224440144
7110354066413
oct21000000000
95800372771
102281701376
11a70a63019
12538179054
132a4939276
14179067b7a
15d54a9a01
hex88000000

2281701376 has 56 divisors (see below), whose sum is σ = 4831838190. Its totient is φ = 1073741824.

The previous prime is 2281701371. The next prime is 2281701377. The reversal of 2281701376 is 6731071822.

It can be written as a sum of positive squares in only one way, i.e., 1677721600 + 603979776 = 40960^2 + 24576^2 .

It is a super-2 number, since 2×22817013762 = 10412322338480586752, which contains 22 as substring.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281701371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 2281701376 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134217720 + ... + 134217736.

Almost surely, 22281701376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281701376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415919095).

2281701376 is an abundant number, since it is smaller than the sum of its proper divisors (2550136814).

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

2281701376 is an frugal number, since it uses more digits than its factorization.

2281701376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 2281701376 is about 47767.1579225727. The cubic root of 2281701376 is about 1316.4961744170.

The spelling of 2281701376 in words is "two billion, two hundred eighty-one million, seven hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8192 8704 16384 17408 32768 34816 65536 69632 131072 139264 262144 278528 524288 557056 1048576 1114112 2097152 2228224 4194304 4456448 8388608 8912896 16777216 17825792 33554432 35651584 67108864 71303168 134217728 142606336 285212672 570425344 1140850688 2281701376