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23225020 = 22572131823
BaseRepresentation
bin101100010011…
…0001010111100
31121200221201221
41120212022330
521421200040
62145443124
7401260300
oct130461274
947627657
1023225020
1112123335
1279404a4
134a72320
143127d00
15208b74a
hex16262bc

23225020 has 72 divisors (see below), whose sum is σ = 61133184. Its totient is φ = 7346304.

The previous prime is 23225017. The next prime is 23225021. The reversal of 23225020 is 2052232.

It is a junction number, because it is equal to n+sod(n) for n = 23224985 and 23225003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23225021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11829 + ... + 13651.

It is an arithmetic number, because the mean of its divisors is an integer number (849072).

Almost surely, 223225020 is an apocalyptic number.

23225020 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 23225020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30566592).

23225020 is an abundant number, since it is smaller than the sum of its proper divisors (37908164).

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

23225020 is a wasteful number, since it uses less digits than its factorization.

23225020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 23225020 is about 4819.2343790274. The cubic root of 23225020 is about 285.3111201785.

Adding to 23225020 its reverse (2052232), we get a palindrome (25277252).

It can be divided in two parts, 232 and 25020, that added together give a palindrome (25252).

The spelling of 23225020 in words is "twenty-three million, two hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 1823 2548 3185 3646 6370 7292 9115 12740 12761 18230 23699 25522 36460 47398 51044 63805 89327 94796 118495 127610 165893 178654 236990 255220 331786 357308 446635 473980 663572 829465 893270 1161251 1658930 1786540 2322502 3317860 4645004 5806255 11612510 23225020