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23225004 = 223211223263
BaseRepresentation
bin101100010011…
…0001010101100
31121200221201100
41120212022230
521421200004
62145443100
7401260245
oct130461254
947627640
1023225004
1112123320
127940490
134a7230a
143127ccc
15208b739
hex16262ac

23225004 has 72 divisors (see below), whose sum is σ = 64576512. Its totient is φ = 6979680.

The previous prime is 23224991. The next prime is 23225017. The reversal of 23225004 is 40052232.

It is an interprime number because it is at equal distance from previous prime (23224991) and next prime (23225017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88177 + ... + 88439.

It is an arithmetic number, because the mean of its divisors is an integer number (896896).

Almost surely, 223225004 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 23225004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32288256).

23225004 is an abundant number, since it is smaller than the sum of its proper divisors (41351508).

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

23225004 is a wasteful number, since it uses less digits than its factorization.

23225004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23225004 is about 4819.2327190124. The cubic root of 23225004 is about 285.3110546604.

Adding to 23225004 its reverse (40052232), we get a palindrome (63277236).

The spelling of 23225004 in words is "twenty-three million, two hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 223 263 396 446 526 669 789 892 1052 1338 1578 2007 2367 2453 2676 2893 3156 4014 4734 4906 5786 7359 8028 8679 9468 9812 11572 14718 17358 22077 26037 29436 34716 44154 52074 58649 88308 104148 117298 175947 234596 351894 527841 645139 703788 1055682 1290278 1935417 2111364 2580556 3870834 5806251 7741668 11612502 23225004