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23238820 = 22511731447
BaseRepresentation
bin101100010100…
…1100010100100
31121201122200001
41120221202210
521422120240
62150031044
7401345443
oct130514244
947648601
1023238820
1112132740
127948484
134a786a7
14312cd5a
15209089a
hex16298a4

23238820 has 48 divisors (see below), whose sum is σ = 54004608. Its totient is φ = 8328960.

The previous prime is 23238793. The next prime is 23238833. The reversal of 23238820 is 2883232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15337 + ... + 16783.

It is an arithmetic number, because the mean of its divisors is an integer number (1125096).

Almost surely, 223238820 is an apocalyptic number.

23238820 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 23238820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27002304).

23238820 is an abundant number, since it is smaller than the sum of its proper divisors (30765788).

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

23238820 is a wasteful number, since it uses less digits than its factorization.

23238820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 23238820 is about 4820.6659291015. The cubic root of 23238820 is about 285.3676183557.

The spelling of 23238820 in words is "twenty-three million, two hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1447 1460 1606 2894 3212 4015 5788 7235 8030 14470 15917 16060 28940 31834 63668 79585 105631 159170 211262 318340 422524 528155 1056310 1161941 2112620 2323882 4647764 5809705 11619410 23238820