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3225785616 = 243247332
BaseRepresentation
bin1100000001000101…
…1001010100010000
322022210212212222100
43000101121110100
523101300114431
61252031440400
7142636503534
oct30021312420
98283785870
103225785616
111405965529
12760386100
133c53c94b1
142285bbbc4
1513d2e34e6
hexc0459510

3225785616 has 45 divisors (see below), whose sum is σ = 9029627269. Its totient is φ = 1075034688.

The previous prime is 3225785597. The next prime is 3225785657. The reversal of 3225785616 is 6165875223.

The square root of 3225785616 is 56796.

It is a perfect power (a square), and thus also a powerful number.

3225785616 is a `hidden beast` number, since 3 + 2 + 25 + 7 + 8 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 573123600 + 2652662016 = 23940^2 + 51504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 679186 + ... + 683918.

Almost surely, 23225785616 is an apocalyptic number.

3225785616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3225785616 is the 56796-th square number.

It is an amenable number.

3225785616 is an abundant number, since it is smaller than the sum of its proper divisors (5803841653).

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

3225785616 is an frugal number, since it uses more digits than its factorization.

3225785616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 4738 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The cubic root of 3225785616 is about 1477.5601411612.

The spelling of 3225785616 in words is "three billion, two hundred twenty-five million, seven hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4733 9466 14199 18932 28398 37864 42597 56796 75728 85194 113592 170388 227184 340776 681552 22401289 44802578 67203867 89605156 134407734 179210312 201611601 268815468 358420624 403223202 537630936 806446404 1075261872 1612892808 3225785616