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4225323132 = 22321912235051
BaseRepresentation
bin1111101111011001…
…0101000001111100
3101220110200122200100
43323312111001330
532123140320012
61535135201100
7206464440222
oct37366250174
911813618610
104225323132
1118790a2898
1299b076190
13524504004
142c1248b12
1519ae328dc
hexfbd9507c

4225323132 has 72 divisors (see below), whose sum is σ = 11254239360. Its totient is φ = 1332957600.

The previous prime is 4225323131. The next prime is 4225323143. The reversal of 4225323132 is 2313235224.

4225323132 is a `hidden beast` number, since 422 + 5 + 3 + 231 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4225323096 and 4225323105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225323131) 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 23 ways as a sum of consecutive naturals, for example, 834007 + ... + 839057.

It is an arithmetic number, because the mean of its divisors is an integer number (156308880).

Almost surely, 24225323132 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 4225323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627119680).

4225323132 is an abundant number, since it is smaller than the sum of its proper divisors (7028916228).

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

4225323132 is a wasteful number, since it uses less digits than its factorization.

4225323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6298 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 4225323132 is about 65002.4855832452. The cubic root of 4225323132 is about 1616.6647751610.

Adding to 4225323132 its reverse (2313235224), we get a palindrome (6538558356).

The spelling of 4225323132 in words is "four billion, two hundred twenty-five million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1223 2446 3669 4892 5051 7338 10102 11007 14676 15153 20204 22014 23237 30306 44028 45459 46474 60612 69711 90918 92948 95969 139422 181836 191938 209133 278844 287907 383876 418266 575814 836532 863721 1151628 1727442 3454884 6177373 12354746 18532119 24709492 37064238 55596357 74128476 111192714 117370087 222385428 234740174 352110261 469480348 704220522 1056330783 1408441044 2112661566 4225323132