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2194663680 = 283351123251
BaseRepresentation
bin1000001011001111…
…1110100100000000
312122221122110121000
42002303332210000
513443313214210
61001435132000
7105246222246
oct20263764400
95587573530
102194663680
11a26915340
12512ba4000
1328c8b3781
1416b68c796
15cca15ac0
hex82cfe900

2194663680 has 576 divisors, whose sum is σ = 8900720640. Its totient is φ = 506880000.

The previous prime is 2194663619. The next prime is 2194663729. The reversal of 2194663680 is 863664912.

2194663680 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 6 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×21946636802 = 9633097336622284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8743555 + ... + 8743805.

It is an arithmetic number, because the mean of its divisors is an integer number (15452640).

Almost surely, 22194663680 is an apocalyptic number.

2194663680 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 2194663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450360320).

2194663680 is an abundant number, since it is smaller than the sum of its proper divisors (6706056960).

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

2194663680 is a wasteful number, since it uses less digits than its factorization.

2194663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2194663680 is about 46847.2376987160. The cubic root of 2194663680 is about 1299.5390239353.

The spelling of 2194663680 in words is "two billion, one hundred ninety-four million, six hundred sixty-three thousand, six hundred eighty".