Search a number
-
+
4322102112 = 25335984787
BaseRepresentation
bin1000000011001111…
…00000101101100000
3102011012210112111000
410001213200231200
532322424231422
61552513352000
7212051155536
oct40147405540
912135715430
104322102112
111918794319
12a07568600
1353b58a693
142d003c156
151a469ccac
hex1019e0b60

4322102112 has 96 divisors (see below), whose sum is σ = 12819945600. Its totient is φ = 1416265344.

The previous prime is 4322102107. The next prime is 4322102177. The reversal of 4322102112 is 2112012234.

It is a happy number.

4322102112 is a `hidden beast` number, since 432 + 21 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8583 + ... + 93369.

It is an arithmetic number, because the mean of its divisors is an integer number (133541100).

Almost surely, 24322102112 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 4322102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409972800).

4322102112 is an abundant number, since it is smaller than the sum of its proper divisors (8497843488).

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

4322102112 is a wasteful number, since it uses less digits than its factorization.

4322102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84865 (or 84851 counting only the distinct ones).

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

The square root of 4322102112 is about 65742.6962635394. The cubic root of 4322102112 is about 1628.9146942431.

Adding to 4322102112 its reverse (2112012234), we get a palindrome (6434114346).

The spelling of 4322102112 in words is "four billion, three hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 25488 50976 84787 169574 254361 339148 508722 678296 763083 1017444 1356592 1526166 2034888 2289249 2713184 3052332 4069776 4578498 5002433 6104664 8139552 9156996 10004866 12209328 15007299 18313992 20009732 24418656 30014598 36627984 40019464 45021897 60029196 73255968 80038928 90043794 120058392 135065691 160077856 180087588 240116784 270131382 360175176 480233568 540262764 720350352 1080525528 1440700704 2161051056 4322102112