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20231332320 = 2535129732497
BaseRepresentation
bin10010110101111000…
…011010000111100000
31221012221211011112110
4102311320122013200
5312413210113240
613143311355320
71314231326103
oct226570320740
957187734473
1020231332320
118642072461
123b07522b40
131ba55b2474
14d9cd0273a
157d6213c80
hex4b5e1a1e0

20231332320 has 96 divisors (see below), whose sum is σ = 63779794848. Its totient is φ = 5390696448.

The previous prime is 20231332279. The next prime is 20231332327. The reversal of 20231332320 is 2323313202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231332327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606312 + ... + 638808.

It is an arithmetic number, because the mean of its divisors is an integer number (664372863).

Almost surely, 220231332320 is an apocalyptic number.

20231332320 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 20231332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31889897424).

20231332320 is an abundant number, since it is smaller than the sum of its proper divisors (43548462528).

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

20231332320 is a wasteful number, since it uses less digits than its factorization.

20231332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33812 (or 33804 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20231332320 its reverse (2323313202), we get a palindrome (22554645522).

The spelling of 20231332320 in words is "twenty billion, two hundred thirty-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1297 2594 3891 5188 6485 7782 10376 12970 15564 19455 20752 25940 31128 32497 38910 41504 51880 62256 64994 77820 97491 103760 124512 129988 155640 162485 194982 207520 259976 311280 324970 389964 487455 519952 622560 649940 779928 974910 1039904 1299880 1559856 1949820 2599760 3119712 3899640 5199520 7799280 15598560 42148609 84297218 126445827 168594436 210743045 252891654 337188872 421486090 505783308 632229135 674377744 842972180 1011566616 1264458270 1348755488 1685944360 2023133232 2528916540 3371888720 4046266464 5057833080 6743777440 10115666160 20231332320