Search a number
-
+
10154233422 = 23219157281673
BaseRepresentation
bin10010111010011110…
…10100111001001110
3222012122222111121100
421131033110321032
5131243440432142
64355332243530
7506426363034
oct113517247116
928178874540
1010154233422
114340888953
121b747705a6
13c5a93c258
146c4830554
153e66c6b4c
hex25d3d4e4e

10154233422 has 96 divisors (see below), whose sum is σ = 23423980320. Its totient is φ = 3170119680.

The previous prime is 10154233387. The next prime is 10154233459. The reversal of 10154233422 is 22433245101.

10154233422 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 4 + 233 + 422 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15087678 + ... + 15088350.

It is an arithmetic number, because the mean of its divisors is an integer number (243999795).

Almost surely, 210154233422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10154233422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711990160).

10154233422 is an abundant number, since it is smaller than the sum of its proper divisors (13269746898).

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

10154233422 is a wasteful number, since it uses less digits than its factorization.

10154233422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10154233422 its reverse (22433245101), we get a palindrome (32587478523).

The spelling of 10154233422 in words is "ten billion, one hundred fifty-four million, two hundred thirty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 157 171 281 314 342 471 562 673 843 942 1346 1413 1686 2019 2529 2826 2983 4038 5058 5339 5966 6057 8949 10678 12114 12787 16017 17898 25574 26847 32034 38361 44117 48051 53694 76722 88234 96102 105661 115083 132351 189113 211322 230166 264702 316983 378226 397053 567339 633966 794106 838223 950949 1134678 1676446 1702017 1901898 2007559 2514669 3404034 3593147 4015118 5029338 6022677 7186294 7544007 10779441 12045354 15088014 18068031 21558882 29690741 32338323 36136062 59381482 64676646 89072223 178144446 267216669 534433338 564124079 1128248158 1692372237 3384744474 5077116711 10154233422