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3225602000 = 24534337507
BaseRepresentation
bin1100000001000010…
…1100011111010000
322022210112120002202
43000100230133100
523101223231000
61252023502332
7142635110315
oct30020543720
98283476082
103225602000
11140584a585
127602b79a8
133c5363a4a
14228570d0c
1513d2a8dd5
hexc042c7d0

3225602000 has 80 divisors (see below), whose sum is σ = 7981102272. Its totient is φ = 1260201600.

The previous prime is 3225601997. The next prime is 3225602033. The reversal of 3225602000 is 2065223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 67247 + ... + 104753.

Almost surely, 23225602000 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 3225602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990551136).

3225602000 is an abundant number, since it is smaller than the sum of its proper divisors (4755500272).

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

3225602000 is a wasteful number, since it uses less digits than its factorization.

3225602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37573 (or 37557 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3225602000 is about 56794.3835251339. The cubic root of 3225602000 is about 1477.5321057343.

Adding to 3225602000 its reverse (2065223), we get a palindrome (3227667223).

The spelling of 3225602000 in words is "three billion, two hundred twenty-five million, six hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 37507 43000 75014 86000 150028 187535 300056 375070 600112 750140 937675 1500280 1612801 1875350 3000560 3225602 3750700 4688375 6451204 7501400 8064005 9376750 12902408 15002800 16128010 18753500 25804816 32256020 37507000 40320025 64512040 75014000 80640050 129024080 161280100 201600125 322560200 403200250 645120400 806400500 1612801000 3225602000