Search a number
-
+
2193073920 = 28335233189
BaseRepresentation
bin1000001010110111…
…1010011100000000
312122211122200212000
42002231322130000
513442411331140
61001341104000
7105226551342
oct20255723400
95584580760
102193073920
11a25a29994
12512558000
1328c477c9b
1416b397292
15cc7eea30
hex82b7a700

2193073920 has 576 divisors, whose sum is σ = 8476876800. Its totient is φ = 535265280.

The previous prime is 2193073913. The next prime is 2193073921. The reversal of 2193073920 is 293703912.

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

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193073921) by changing a digit.

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, 24641236 + ... + 24641324.

It is an arithmetic number, because the mean of its divisors is an integer number (14716800).

Almost surely, 22193073920 is an apocalyptic number.

2193073920 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 2193073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238438400).

2193073920 is an abundant number, since it is smaller than the sum of its proper divisors (6283802880).

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

2193073920 is a wasteful number, since it uses less digits than its factorization.

2193073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2193073920 is about 46830.2671356891. The cubic root of 2193073920 is about 1299.2251635140.

The spelling of 2193073920 in words is "two billion, one hundred ninety-three million, seventy-three thousand, nine hundred twenty".