Search a number
-
+
22681092128 = 257923372
BaseRepresentation
bin10101000111111001…
…100000000000100000
32011112200110212020012
4111013321200000200
5332422324422003
614230342304052
71432026050012
oct250771400040
964480425205
1022681092128
119689981242
12448ba28028
1321a5ca1096
1411523d61b2
158cb3188d8
hex547e60020

22681092128 has 54 divisors (see below), whose sum is σ = 45360387261. Its totient is φ = 11163769344.

The previous prime is 22681092107. The next prime is 22681092139. The reversal of 22681092128 is 82129018622.

It is a happy number.

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 2 ways, for example, as 21406030864 + 1275061264 = 146308^2 + 35708^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106492.

It is a Duffinian number.

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, 67302776 + ... + 67303112.

Almost surely, 222681092128 is an apocalyptic number.

It is an amenable number.

22681092128 is a deficient number, since it is larger than the sum of its proper divisors (22679295133).

22681092128 is an frugal number, since it uses more digits than its factorization.

22681092128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 22681092128 in words is "twenty-two billion, six hundred eighty-one million, ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 79 158 316 337 632 674 1264 1348 2528 2696 5392 6241 10784 12482 24964 26623 49928 53246 99856 106492 113569 199712 212984 227138 425968 454276 851936 908552 1817104 2103217 3634208 4206434 8412868 8971951 16825736 17943902 33651472 35887804 67302944 71775608 143551216 287102432 708784129 1417568258 2835136516 5670273032 11340546064 22681092128