Search a number
-
+
22910418944 = 2147375399
BaseRepresentation
bin10101010101100100…
…010100000000000000
32012010122222212110222
4111111210110000000
5333410031401234
614305213442212
71440512230220
oct252544240000
965118885428
1022910418944
119797374936
1245347a0368
132211655b1a
141174a50080
158e151742e
hex555914000

22910418944 has 120 divisors (see below), whose sum is σ = 53790307200. Its totient is φ = 9551609856.

The previous prime is 22910418941. The next prime is 22910418953. The reversal of 22910418944 is 44981401922.

It is a junction number, because it is equal to n+sod(n) for n = 22910418895 and 22910418904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22910418941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4240757 + ... + 4246155.

It is an arithmetic number, because the mean of its divisors is an integer number (448252560).

Almost surely, 222910418944 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 22910418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26895153600).

22910418944 is an abundant number, since it is smaller than the sum of its proper divisors (30879888256).

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

22910418944 is an frugal number, since it uses more digits than its factorization.

22910418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 22910418944 in words is "twenty-two billion, nine hundred ten million, four hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1024 1036 1184 1792 2048 2072 2368 3584 4096 4144 4736 5399 7168 8192 8288 9472 10798 14336 16384 16576 18944 21596 28672 33152 37793 37888 43192 57344 66304 75586 75776 86384 114688 132608 151172 151552 172768 199763 265216 302344 303104 345536 399526 530432 604688 606208 691072 799052 1060864 1209376 1382144 1398341 1598104 2121728 2418752 2764288 2796682 3196208 4243456 4837504 5528576 5593364 6392416 9675008 11057152 11186728 12784832 19350016 22114304 22373456 25569664 38700032 44228608 44746912 51139328 77400064 88457216 89493824 102278656 154800128 178987648 204557312 309600256 357975296 409114624 619200512 715950592 818229248 1431901184 1636458496 2863802368 3272916992 5727604736 11455209472 22910418944