Search a number
-
+
4225831740 = 22325131805911
BaseRepresentation
bin1111101111100001…
…0001001100111100
3101220111122111100200
43323320101030330
532123303103430
61535154123500
7206501656104
oct37370211474
911814574320
104225831740
11187940aa29
1299b280590
13524651670
142c133c204
1519aed3460
hexfbe1133c

4225831740 has 72 divisors (see below), whose sum is σ = 13804391328. Its totient is φ = 1040204160.

The previous prime is 4225831723. The next prime is 4225831741. The reversal of 4225831740 is 471385224.

It is a happy number.

4225831740 is a `hidden beast` number, since 4 + 2 + 2 + 583 + 1 + 74 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4225831695 and 4225831704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225831741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900616 + ... + 905295.

Almost surely, 24225831740 is an apocalyptic number.

It is an amenable number.

4225831740 is an abundant number, since it is smaller than the sum of its proper divisors (9578559588).

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

4225831740 is a wasteful number, since it uses less digits than its factorization.

4225831740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805939 (or 1805934 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4225831740 is about 65006.3976851510. The cubic root of 4225831740 is about 1616.7296392849.

The spelling of 4225831740 in words is "four billion, two hundred twenty-five million, eight hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1805911 3611822 5417733 7223644 9029555 10835466 16253199 18059110 21670932 23476843 27088665 32506398 36118220 46953686 54177330 65012796 70430529 81265995 93907372 108354660 117384215 140861058 162531990 211291587 234768430 281722116 325063980 352152645 422583174 469536860 704305290 845166348 1056457935 1408610580 2112915870 4225831740