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3223225024 = 261729310111
BaseRepresentation
bin1100000000011110…
…1000001011000000
322022122001210111121
43000013220023000
523100121200044
61251500522024
7142605650335
oct30007501300
98278053447
103223225024
111404476738
1275b550314
133c4a10b56
1422811298c
1513ce89984
hexc01e82c0

3223225024 has 56 divisors (see below), whose sum is σ = 6796113408. Its totient is φ = 1511485440.

The previous prime is 3223224989. The next prime is 3223225069. The reversal of 3223225024 is 4205223223.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3223225024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313729 + ... + 323839.

It is an arithmetic number, because the mean of its divisors is an integer number (121359168).

Almost surely, 23223225024 is an apocalyptic number.

3223225024 is a gapful number since it is divisible by the number (34) 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 3223225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398056704).

3223225024 is an abundant number, since it is smaller than the sum of its proper divisors (3572888384).

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

3223225024 is a wasteful number, since it uses less digits than its factorization.

3223225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10433 (or 10423 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3223225024 is about 56773.4535148250. The cubic root of 3223225024 is about 1477.1690808481.

Adding to 3223225024 its reverse (4205223223), we get a palindrome (7428448247).

The spelling of 3223225024 in words is "three billion, two hundred twenty-three million, two hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 293 544 586 1088 1172 2344 4688 4981 9376 9962 10111 18752 19924 20222 39848 40444 79696 80888 159392 161776 171887 318784 323552 343774 647104 687548 1375096 2750192 2962523 5500384 5925046 11000768 11850092 23700184 47400368 50362891 94800736 100725782 189601472 201451564 402903128 805806256 1611612512 3223225024