Search a number
-
+
3330222432 = 253595771019
BaseRepresentation
bin1100011001111111…
…0010100101100000
322121002101211100120
43012133302211200
523310014104212
61310242120240
7145345265205
oct30637624540
98532354316
103330222432
111459907449
1278b350080
13410c34624
14238405cac
1514757288c
hexc67f2960

3330222432 has 96 divisors (see below), whose sum is σ = 8914147200. Its totient is φ = 1088299008.

The previous prime is 3330222431. The next prime is 3330222433. The reversal of 3330222432 is 2342220333.

It is a happy number.

3330222432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3330222431) and next prime (3330222433).

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

It is a super-2 number, since 2×33302224322 = 22180762893191989248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330222431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3267619 + ... + 3268637.

It is an arithmetic number, because the mean of its divisors is an integer number (92855700).

Almost surely, 23330222432 is an apocalyptic number.

3330222432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457073600).

3330222432 is an abundant number, since it is smaller than the sum of its proper divisors (5583924768).

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

3330222432 is a wasteful number, since it uses less digits than its factorization.

3330222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3330222432 is about 57708.0794343392. The cubic root of 3330222432 is about 1493.3367306116.

Adding to 3330222432 its reverse (2342220333), we get a palindrome (5672442765).

The spelling of 3330222432 in words is "three billion, three hundred thirty million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 577 708 944 1019 1154 1416 1731 1888 2038 2308 2832 3057 3462 4076 4616 5664 6114 6924 8152 9232 12228 13848 16304 18464 24456 27696 32608 34043 48912 55392 60121 68086 97824 102129 120242 136172 180363 204258 240484 272344 360726 408516 480968 544688 587963 721452 817032 961936 1089376 1175926 1442904 1634064 1763889 1923872 2351852 2885808 3268128 3527778 4703704 5771616 7055556 9407408 14111112 18814816 28222224 34689817 56444448 69379634 104069451 138759268 208138902 277518536 416277804 555037072 832555608 1110074144 1665111216 3330222432