Search a number
-
+
2194657920 = 273257135379
BaseRepresentation
bin1000001011001111…
…1101001010000000
312122221122011200200
42002303331022000
513443313023140
61001435045200
7105246166410
oct20263751200
95587564620
102194657920
11a26910a84
12512ba0800
1328c8b0c70
1416b68a640
15cca14030
hex82cfd280

2194657920 has 768 divisors, whose sum is σ = 9623577600. Its totient is φ = 448561152.

The previous prime is 2194657919. The next prime is 2194657931. The reversal of 2194657920 is 297564912.

2194657920 is a `hidden beast` number, since 2 + 19 + 46 + 579 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct 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 95 ways as a sum of consecutive naturals, for example, 27780441 + ... + 27780519.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 22194657920 is an apocalyptic number.

2194657920 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 2194657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811788800).

2194657920 is an abundant number, since it is smaller than the sum of its proper divisors (7428919680).

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

2194657920 is a wasteful number, since it uses less digits than its factorization.

2194657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2194657920 is about 46847.1762222655. The cubic root of 2194657920 is about 1299.5378870335.

The spelling of 2194657920 in words is "two billion, one hundred ninety-four million, six hundred fifty-seven thousand, nine hundred twenty".