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2208731648 = 29312672
BaseRepresentation
bin1000001110100110…
…1001001000000000
312200221010012012212
42003221221020000
514010413403043
61003100441252
7105506623604
oct20351511000
95627105185
102208731648
11a33853862
12517849228
1329279ab06
1416d4b1504
15cdd94018
hex83a69200

2208731648 has 90 divisors (see below), whose sum is σ = 4629178323. Its totient is φ = 1052789760.

The previous prime is 2208731639. The next prime is 2208731671. The reversal of 2208731648 is 8461378022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1104365824 + 1104365824 = 33232^2 + 33232^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33232.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32966111 + ... + 32966177.

Almost surely, 22208731648 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 2208731648

2208731648 is an abundant number, since it is smaller than the sum of its proper divisors (2420446675).

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

2208731648 is an frugal number, since it uses more digits than its factorization.

2208731648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 2208731648 is about 46997.1451047827. The cubic root of 2208731648 is about 1302.3098280050.

It can be divided in two parts, 22087 and 31648, that added together give a palindrome (53735).

The spelling of 2208731648 in words is "two billion, two hundred eight million, seven hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 248 256 268 496 512 536 961 992 1072 1922 1984 2077 2144 3844 3968 4154 4288 4489 7688 7936 8308 8576 8978 15376 15872 16616 17152 17956 30752 33232 34304 35912 61504 64387 66464 71824 123008 128774 132928 139159 143648 246016 257548 265856 278318 287296 492032 515096 531712 556636 574592 1030192 1063424 1113272 1149184 2060384 2226544 2298368 4120768 4313929 4453088 8241536 8627858 8906176 16483072 17255716 17812352 32966144 34511432 35624704 69022864 71249408 138045728 276091456 552182912 1104365824 2208731648