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2234695680 = 2143257433
BaseRepresentation
bin1000010100110010…
…1100000000000000
312202201222022011200
42011030230000000
514034040230210
61005425141200
7106243412520
oct20514540000
95681868150
102234695680
11a47477a38
1252448a800
13297c8ba49
14172b0d680
15d12c20c0
hex8532c000

2234695680 has 360 divisors, whose sum is σ = 8873827872. Its totient is φ = 509607936.

The previous prime is 2234695669. The next prime is 2234695733. The reversal of 2234695680 is 865964322.

2234695680 is a `hidden beast` number, since 2 + 23 + 4 + 69 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160744 + ... + 5161176.

Almost surely, 22234695680 is an apocalyptic number.

2234695680 is a gapful number since it is divisible by the number (20) 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 2234695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436913936).

2234695680 is an abundant number, since it is smaller than the sum of its proper divisors (6639132192).

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

2234695680 is an equidigital number, since it uses as much as digits as its factorization.

2234695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2234695680 is about 47272.5679437874. The cubic root of 2234695680 is about 1307.3929231202.

The spelling of 2234695680 in words is "two billion, two hundred thirty-four million, six hundred ninety-five thousand, six hundred eighty".