Search a number
-
+
2113201422 = 23217107233277
BaseRepresentation
bin111110111110100…
…1110010100001110
312110021100202101100
41331331032110032
513311434421142
6545405123530
7103236626043
oct17575162416
95407322340
102113201422
11994935562
124ab8595a6
13278a60957
141609251ca
15c57c3b4c
hex7df4e50e

2113201422 has 96 divisors (see below), whose sum is σ = 4931982432. Its totient is φ = 651589632.

The previous prime is 2113201403. The next prime is 2113201423. The reversal of 2113201422 is 2241023112.

It is a happy number.

2113201422 is a `hidden beast` number, since 211 + 32 + 0 + 1 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2113201395 and 2113201404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113201423) by changing a digit.

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, 7628748 + ... + 7629024.

It is an arithmetic number, because the mean of its divisors is an integer number (51374817).

Almost surely, 22113201422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113201422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465991216).

2113201422 is an abundant number, since it is smaller than the sum of its proper divisors (2818781010).

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

2113201422 is a wasteful number, since it uses less digits than its factorization.

2113201422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2113201422 is about 45969.5706092628. The cubic root of 2113201422 is about 1283.2569688561.

Adding to 2113201422 its reverse (2241023112), we get a palindrome (4354224534).

The spelling of 2113201422 in words is "two billion, one hundred thirteen million, two hundred one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 107 153 214 233 277 306 321 466 554 642 699 831 963 1398 1662 1819 1926 2097 2493 3638 3961 4194 4709 4986 5457 7922 9418 10914 11883 14127 16371 23766 24931 28254 29639 32742 35649 42381 49862 59278 64541 71298 74793 84762 88917 129082 149586 177834 193623 224379 266751 387246 423827 448758 503863 533502 580869 847654 1007726 1097197 1161738 1271481 1511589 2194394 2542962 3023178 3291591 3814443 4534767 6583182 6905887 7628886 9069534 9874773 13811774 19749546 20717661 41435322 62152983 117400079 124305966 234800158 352200237 704400474 1056600711 2113201422