Search a number
-
+
22852226898 = 2363721072
BaseRepresentation
bin10101010010000110…
…010100111101010010
32011222121111102000000
4111102012110331102
5333300132230043
614255334310430
71436204503134
oct252206247522
964877442000
1022852226898
119767539336
1245191b8416
13220258ca67
14116b023054
158db3702d3
hex552194f52

22852226898 has 126 divisors (see below), whose sum is σ = 53318832021. Its totient is φ = 7342266384.

The previous prime is 22852226869. The next prime is 22852226933. The reversal of 22852226898 is 89862225822.

22852226898 is a `hidden beast` number, since 2 + 2 + 8 + 522 + 26 + 8 + 98 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18437023089 + 4415203809 = 135783^2 + 66447^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106893.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 213572161 + ... + 213572267.

Almost surely, 222852226898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22852226898

22852226898 is an abundant number, since it is smaller than the sum of its proper divisors (30466605123).

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

22852226898 is an frugal number, since it uses more digits than its factorization.

22852226898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 149 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 22852226898 in words is "twenty-two billion, eight hundred fifty-two million, two hundred twenty-six thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 107 111 162 214 222 243 321 333 486 642 666 729 963 999 1369 1458 1926 1998 2738 2889 2997 3959 4107 5778 5994 7918 8214 8667 8991 11449 11877 12321 17334 17982 22898 23754 24642 26001 26973 34347 35631 36963 52002 53946 68694 71262 73926 78003 103041 106893 110889 146483 156006 206082 213786 221778 292966 309123 320679 332667 423613 439449 618246 641358 665334 847226 878898 927369 962037 998001 1270839 1318347 1854738 1924074 1996002 2541678 2636694 2782107 2886111 3812517 3955041 5564214 5772222 7625034 7910082 8346321 11437551 11865123 15673681 16692642 22875102 23730246 31347362 34312653 35595369 47021043 68625306 71190738 94042086 102937959 106786107 141063129 205875918 213572214 282126258 308813877 423189387 617627754 846378774 1269568161 2539136322 3808704483 7617408966 11426113449 22852226898