Search a number
-
+
2021144022 = 23337428593
BaseRepresentation
bin111100001111000…
…0011010111010110
312012212010202101000
41320132003113112
513114403102042
6532320044130
7101041304112
oct17036032726
95185122330
102021144022
11947979467
12484a63646
1326296b411
14152600742
15bc68c74c
hex787835d6

2021144022 has 16 divisors (see below), whose sum is σ = 4491431280. Its totient is φ = 673714656.

The previous prime is 2021143967. The next prime is 2021144023. The reversal of 2021144022 is 2204411202.

2021144022 is a `hidden beast` number, since 202 + 1 + 1 + 440 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2021143986 and 2021144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021144023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18714243 + ... + 18714350.

It is an arithmetic number, because the mean of its divisors is an integer number (280714455).

Almost surely, 22021144022 is an apocalyptic number.

2021144022 is an abundant number, since it is smaller than the sum of its proper divisors (2470287258).

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

2021144022 is a wasteful number, since it uses less digits than its factorization.

2021144022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37428604 (or 37428598 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2021144022 is about 44957.1353847195. The cubic root of 2021144022 is about 1264.3454610908.

Adding to 2021144022 its reverse (2204411202), we get a palindrome (4225555224).

The spelling of 2021144022 in words is "two billion, twenty-one million, one hundred forty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 37428593 74857186 112285779 224571558 336857337 673714674 1010572011 2021144022