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2022130656 = 25347138573
BaseRepresentation
bin111100010000111…
…0100001111100000
312012220222212210000
41320201310033200
513120131140111
6532353140000
7101052553440
oct17041641740
95186885700
102022130656
11948492767
1248525a600
13262c25520
141527ba120
15bc7d4c56
hex788743e0

2022130656 has 240 divisors, whose sum is σ = 7320275424. Its totient is φ = 533246976.

The previous prime is 2022130633. The next prime is 2022130657. The reversal of 2022130656 is 6560312202.

2022130656 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 1 + 3 + 0 + 656 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022130657) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231586 + ... + 240158.

Almost surely, 22022130656 is an apocalyptic number.

2022130656 is a gapful number since it is divisible by the number (26) 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 2022130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660137712).

2022130656 is an abundant number, since it is smaller than the sum of its proper divisors (5298144768).

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

2022130656 is a wasteful number, since it uses less digits than its factorization.

2022130656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8615 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2022130656 is about 44968.1070982535. The cubic root of 2022130656 is about 1264.5511603183.

Adding to 2022130656 its reverse (6560312202), we get a palindrome (8582442858).

The spelling of 2022130656 in words is "two billion, twenty-two million, one hundred thirty thousand, six hundred fifty-six".