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3213250560 = 21234513149
BaseRepresentation
bin1011111110000110…
…0101000000000000
322021221022001010000
42333201211000000
523040043004220
61250503040000
7142425115302
oct27741450000
98257261100
103213250560
1113a9883783
12758140000
133c292aac0
14226a77972
1513c169390
hexbf865000

3213250560 has 520 divisors, whose sum is σ = 12487998600. Its totient is φ = 785645568.

The previous prime is 3213250549. The next prime is 3213250561. The reversal of 3213250560 is 650523123.

3213250560 is a `hidden beast` number, since 3 + 21 + 32 + 50 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 3186376704 = 5184^2 + 56448^2 .

It is a tau number, because it is divible by the number of its divisors (520).

It is a super-2 number, since 2×32132505602 = 20649958322680627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213250561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21565366 + ... + 21565514.

Almost surely, 23213250560 is an apocalyptic number.

3213250560 is a gapful number since it is divisible by the number (30) 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 3213250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243999300).

3213250560 is an abundant number, since it is smaller than the sum of its proper divisors (9274748040).

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

3213250560 is a wasteful number, since it uses less digits than its factorization.

3213250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3213250560 is about 56685.5410135601. The cubic root of 3213250560 is about 1475.6437768148.

Adding to 3213250560 its reverse (650523123), we get a palindrome (3863773683).

The spelling of 3213250560 in words is "three billion, two hundred thirteen million, two hundred fifty thousand, five hundred sixty".