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2023022320 = 245112298889
BaseRepresentation
bin111100010010100…
…1101111011110000
312012222200011220121
41320211031323300
513120343203240
6532424220024
7101063256154
oct17045157360
95188604817
102023022320
11948a41680
1248560a614
13263178337
1415296d064
15bc90e04a
hex7894def0

2023022320 has 40 divisors (see below), whose sum is σ = 5131122480. Its totient is φ = 735644160.

The previous prime is 2023022303. The next prime is 2023022341. The reversal of 2023022320 is 232203202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2023022294 and 2023022303.

It is a congruent number.

It is an unprimeable number.

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, 1148565 + ... + 1150324.

It is an arithmetic number, because the mean of its divisors is an integer number (128278062).

Almost surely, 22023022320 is an apocalyptic number.

2023022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023022320 is an abundant number, since it is smaller than the sum of its proper divisors (3108100160).

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

2023022320 is a wasteful number, since it uses less digits than its factorization.

2023022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298913 (or 2298907 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2023022320 is about 44978.0204099736. The cubic root of 2023022320 is about 1264.7370020937.

Adding to 2023022320 its reverse (232203202), we get a palindrome (2255225522).

The spelling of 2023022320 in words is "two billion, twenty-three million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2298889 4597778 9195556 11494445 18391112 22988890 25287779 36782224 45977780 50575558 91955560 101151116 126438895 183911120 202302232 252877790 404604464 505755580 1011511160 2023022320