Search a number
-
+
9214413444 = 223385318643
BaseRepresentation
bin10001001010011100…
…01100101010000100
3212210011112200222000
420211032030222010
5122332342212234
64122200505300
7444225136065
oct104516145204
925704480860
109214413444
1139a9329225
121951a7b230
13b3b012c62
14635aaa56c
1538de31899
hex22538ca84

9214413444 has 24 divisors (see below), whose sum is σ = 23889220320. Its totient is φ = 3071471112.

The previous prime is 9214413443. The next prime is 9214413473. The reversal of 9214413444 is 4443144129.

It is a happy number.

It is a super-2 number, since 2×92144134442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9214413399 and 9214413408.

It is not an unprimeable number, because it can be changed into a prime (9214413443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42659214 + ... + 42659429.

It is an arithmetic number, because the mean of its divisors is an integer number (995384180).

Almost surely, 29214413444 is an apocalyptic number.

It is an amenable number.

9214413444 is an abundant number, since it is smaller than the sum of its proper divisors (14674806876).

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

9214413444 is a wasteful number, since it uses less digits than its factorization.

9214413444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85318656 (or 85318648 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 9214413444 is about 95991.7363318322. The cubic root of 9214413444 is about 2096.4727973229.

The spelling of 9214413444 in words is "nine billion, two hundred fourteen million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 85318643 170637286 255955929 341274572 511911858 767867787 1023823716 1535735574 2303603361 3071471148 4607206722 9214413444