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2194723440 = 24325713194143
BaseRepresentation
bin1000001011010000…
…1101001001110000
312122221202111120100
42002310031021300
513443322122230
61001440312400
7105246561420
oct20264151160
95587674510
102194723440
11a26956228
12513012700
1328c904a30
1416b6a6480
15cca28660
hex82d0d270

2194723440 has 960 divisors, whose sum is σ = 10009359360. Its totient is φ = 418037760.

The previous prime is 2194723429. The next prime is 2194723469. The reversal of 2194723440 is 443274912.

2194723440 is a `hidden beast` number, since 2 + 194 + 7 + 23 + 440 = 666.

It is a super-3 number, since 3×21947234403 (a number of 29 digits) contains 333 as substring.

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 = 2194723395 and 2194723404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51040059 + ... + 51040101.

It is an arithmetic number, because the mean of its divisors is an integer number (10426416).

Almost surely, 22194723440 is an apocalyptic number.

2194723440 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 2194723440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004679680).

2194723440 is an abundant number, since it is smaller than the sum of its proper divisors (7814635920).

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

2194723440 is a wasteful number, since it uses less digits than its factorization.

2194723440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2194723440 is about 46847.8755121297. The cubic root of 2194723440 is about 1299.5508191742.

The spelling of 2194723440 in words is "two billion, one hundred ninety-four million, seven hundred twenty-three thousand, four hundred forty".