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23211328 = 267197263
BaseRepresentation
bin101100010001…
…0110101000000
31121200020221211
41120202311000
521420230303
62145255504
7401202340
oct130426500
947606854
1023211328
1112114018
127934594
134a6901a
143122d20
15208766d
hex1622d40

23211328 has 56 divisors (see below), whose sum is σ = 53108352. Its totient is φ = 9859584.

The previous prime is 23211323. The next prime is 23211329. The reversal of 23211328 is 82311232.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 23211299 and 23211308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88125 + ... + 88387.

Almost surely, 223211328 is an apocalyptic number.

23211328 is a gapful number since it is divisible by the number (28) 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 23211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26554176).

23211328 is an abundant number, since it is smaller than the sum of its proper divisors (29897024).

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

23211328 is a wasteful number, since it uses less digits than its factorization.

23211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 23211328 is about 4817.8136120029. The cubic root of 23211328 is about 285.2550420384.

The spelling of 23211328 in words is "twenty-three million, two hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 197 224 263 394 448 526 788 1052 1379 1576 1841 2104 2758 3152 3682 4208 5516 6304 7364 8416 11032 12608 14728 16832 22064 29456 44128 51811 58912 88256 103622 117824 207244 362677 414488 725354 828976 1450708 1657952 2901416 3315904 5802832 11605664 23211328