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2022364032 = 27313412241
BaseRepresentation
bin111100010001010…
…1101001110000000
312012221102201220120
41320202231032000
513120211122112
6532402140240
7101054545023
oct17042551600
95187381816
102022364032
11948632037
12485351680
13262ca7810
1415283b1ba
15bc82de8c
hex788ad380

2022364032 has 192 divisors, whose sum is σ = 5954274480. Its totient is φ = 604569600.

The previous prime is 2022364027. The next prime is 2022364103. The reversal of 2022364032 is 2304632202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2022363993 and 2022364011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8391432 + ... + 8391672.

Almost surely, 22022364032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977137240).

2022364032 is an abundant number, since it is smaller than the sum of its proper divisors (3931910448).

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

2022364032 is a wasteful number, since it uses less digits than its factorization.

2022364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2022364032 is about 44970.7019291449. The cubic root of 2022364032 is about 1264.5998061263.

Adding to 2022364032 its reverse (2304632202), we get a palindrome (4326996234).

It can be divided in two parts, 20223 and 64032, that added together give a triangular number (84255 = T410).

The spelling of 2022364032 in words is "two billion, twenty-two million, three hundred sixty-four thousand, thirty-two".