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23020004 = 2272257457
BaseRepresentation
bin101011111010…
…0000111100100
31121022112111202
41113310013210
521343120004
62141222032
7366444500
oct127640744
947275452
1023020004
1111aa32a7
127861918
1349ccc07
1430b3300
15204ab1e
hex15f41e4

23020004 has 36 divisors (see below), whose sum is σ = 47147436. Its totient is φ = 9805824.

The previous prime is 23019979. The next prime is 23020009. The reversal of 23020004 is 40002032.

It can be written as a sum of positive squares in 2 ways, for example, as 21603904 + 1416100 = 4648^2 + 1190^2 .

It is not an unprimeable number, because it can be changed into a prime (23020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50144 + ... + 50600.

It is an arithmetic number, because the mean of its divisors is an integer number (1309651).

Almost surely, 223020004 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 23020004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23573718).

23020004 is an abundant number, since it is smaller than the sum of its proper divisors (24127432).

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

23020004 is a wasteful number, since it uses less digits than its factorization.

23020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 23020004 is about 4797.9166312057. The cubic root of 23020004 is about 284.4691215073.

Adding to 23020004 its reverse (40002032), we get a palindrome (63022036).

The spelling of 23020004 in words is "twenty-three million, twenty thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 257 457 514 914 1028 1799 1828 3199 3598 6398 7196 12593 12796 22393 25186 44786 50372 89572 117449 234898 469796 822143 1644286 3288572 5755001 11510002 23020004