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23226528 = 2531337503
BaseRepresentation
bin101100010011…
…0100010100000
31121201000210210
41120212202200
521421222103
62145454120
7401264553
oct130464240
947630723
1023226528
1112124486
127941340
134a72c10
14312869a
15208be03
hex16268a0

23226528 has 96 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 6939648.

The previous prime is 23226521. The next prime is 23226529. The reversal of 23226528 is 82562232.

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

It is a junction number, because it is equal to n+sod(n) for n = 23226495 and 23226504.

It is not an unprimeable number, because it can be changed into a prime (23226521) 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, 45925 + ... + 46427.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 223226528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

23226528 is an abundant number, since it is smaller than the sum of its proper divisors (44341728).

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

23226528 is a wasteful number, since it uses less digits than its factorization.

23226528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 23226528 is about 4819.3908328750. The cubic root of 23226528 is about 285.3172951263.

The spelling of 23226528 in words is "twenty-three million, two hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 503 592 624 888 962 1006 1184 1248 1443 1509 1776 1924 2012 2886 3018 3552 3848 4024 5772 6036 6539 7696 8048 11544 12072 13078 15392 16096 18611 19617 23088 24144 26156 37222 39234 46176 48288 52312 55833 74444 78468 104624 111666 148888 156936 209248 223332 241943 297776 313872 446664 483886 595552 627744 725829 893328 967772 1451658 1786656 1935544 2903316 3871088 5806632 7742176 11613264 23226528