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2290614272 = 21917257
BaseRepresentation
bin1000100010001000…
…0000000000000000
312220122012021001122
42020202000000000
514142344124042
61015143451412
7110522620502
oct21042000000
95818167048
102290614272
11a75aa0451
1253b156b68
132a673a07b
1417a307d72
15d616a7d2
hex88880000

2290614272 has 80 divisors (see below), whose sum is σ = 4869582300. Its totient is φ = 1073741824.

The previous prime is 2290614259. The next prime is 2290614301. The reversal of 2290614272 is 2724160922.

It can be written as a sum of positive squares in 2 ways, for example, as 1805910016 + 484704256 = 42496^2 + 22016^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

In principle, a polygon with 2290614272 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8912768 + ... + 8913024.

Almost surely, 22290614272 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 2290614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434791150).

2290614272 is an abundant number, since it is smaller than the sum of its proper divisors (2578968028).

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

2290614272 is an frugal number, since it uses more digits than its factorization.

2290614272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2290614272 is about 47860.3622217801. The cubic root of 2290614272 is about 1318.2081349601.

The spelling of 2290614272 in words is "two billion, two hundred ninety million, six hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 257 272 512 514 544 1024 1028 1088 2048 2056 2176 4096 4112 4352 4369 8192 8224 8704 8738 16384 16448 17408 17476 32768 32896 34816 34952 65536 65792 69632 69904 131072 131584 139264 139808 262144 263168 278528 279616 524288 526336 557056 559232 1052672 1114112 1118464 2105344 2228224 2236928 4210688 4456448 4473856 8421376 8912896 8947712 16842752 17895424 33685504 35790848 67371008 71581696 134742016 143163392 286326784 572653568 1145307136 2290614272