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2194352640 = 2933553599
BaseRepresentation
bin1000001011001011…
…0010101000000000
312122221001122221000
42002302302220000
513443223241030
61001424332000
7105243455364
oct20262625000
95587048830
102194352640
11a26722687
12512a74000
1328c80501c
1416b60b2a4
15cc9a3860
hex82cb2a00

2194352640 has 320 divisors, whose sum is σ = 7954848000. Its totient is φ = 573161472.

The previous prime is 2194352627. The next prime is 2194352663. The reversal of 2194352640 is 462534912.

It is a happy number.

2194352640 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 3 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2194352595 and 2194352604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3663061 + ... + 3663659.

It is an arithmetic number, because the mean of its divisors is an integer number (24858900).

Almost surely, 22194352640 is an apocalyptic number.

2194352640 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 2194352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977424000).

2194352640 is an abundant number, since it is smaller than the sum of its proper divisors (5760495360).

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

2194352640 is an equidigital number, since it uses as much as digits as its factorization.

2194352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2194352640 is about 46843.9178549361. The cubic root of 2194352640 is about 1299.4776283908.

The spelling of 2194352640 in words is "two billion, one hundred ninety-four million, three hundred fifty-two thousand, six hundred forty".