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3225355432 = 231383491761
BaseRepresentation
bin1100000000111111…
…0000010010101000
322022210002000212121
43000033300102220
523101142333212
61252014321024
7142633032415
oct30017602250
98283060777
103225355432
1114056a1302
127601b9174
133c52a8750
1422850910c
1513d25ad07
hexc03f04a8

3225355432 has 64 divisors (see below), whose sum is σ = 6613306560. Its totient is φ = 1465766400.

The previous prime is 3225355421. The next prime is 3225355457. The reversal of 3225355432 is 2345535223.

It is a happy number.

Its product of digits (108000) is a multiple of the sum of its prime divisors (1350).

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, 4237932 + ... + 4238692.

It is an arithmetic number, because the mean of its divisors is an integer number (103332915).

Almost surely, 23225355432 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 3225355432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306653280).

3225355432 is an abundant number, since it is smaller than the sum of its proper divisors (3387951128).

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

3225355432 is a wasteful number, since it uses less digits than its factorization.

3225355432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its digits is 108000, while the sum is 34.

The square root of 3225355432 is about 56792.2127760488. The cubic root of 3225355432 is about 1477.4944568015.

The spelling of 3225355432 in words is "three billion, two hundred twenty-five million, three hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 491 664 761 982 1079 1522 1964 2158 3044 3928 4316 6088 6383 8632 9893 12766 19786 25532 39572 40753 51064 63163 79144 81506 126326 163012 252652 326024 373651 505304 529789 747302 821119 1059578 1494604 1642238 2119156 2989208 3284476 4238312 4857463 6568952 9714926 19429852 31013033 38859704 62026066 124052132 248104264 403169429 806338858 1612677716 3225355432