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23211020 = 2257295717
BaseRepresentation
bin101100010001…
…0110000001100
31121200020112102
41120202300030
521420223040
62145254232
7401201420
oct130426014
947606472
1023211020
1112113868
127934378
134a68b41
143122b80
152087515
hex1622c0c

23211020 has 48 divisors (see below), whose sum is σ = 57637440. Its totient is φ = 7682304.

The previous prime is 23210987. The next prime is 23211029. The reversal of 23211020 is 2011232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23210992 and 23211010.

It is not an unprimeable number, because it can be changed into a prime (23211029) 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, 1202 + ... + 6918.

It is an arithmetic number, because the mean of its divisors is an integer number (1200780).

Almost surely, 223211020 is an apocalyptic number.

23211020 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 23211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28818720).

23211020 is an abundant number, since it is smaller than the sum of its proper divisors (34426420).

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

23211020 is a wasteful number, since it uses less digits than its factorization.

23211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 23211020 is about 4817.7816471899. The cubic root of 23211020 is about 285.2537803133.

Adding to 23211020 its reverse (2011232), we get a palindrome (25222252).

The spelling of 23211020 in words is "twenty-three million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 5717 11434 22868 28585 40019 57170 80038 114340 160076 165793 200095 331586 400190 663172 800380 828965 1160551 1657930 2321102 3315860 4642204 5802755 11605510 23211020