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23125032 = 23327172699
BaseRepresentation
bin101100000110…
…1110000101000
31121111212120200
41120031300220
521410000112
62143352200
7400362630
oct130156050
947455520
1023125032
11120651a7
1278b2660
134a38968
1430dd6c0
15206bcdc
hex160dc28

23125032 has 96 divisors (see below), whose sum is σ = 75816000. Its totient is φ = 6216192.

The previous prime is 23125031. The next prime is 23125057. The reversal of 23125032 is 23052132.

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

It is a junction number, because it is equal to n+sod(n) for n = 23124996 and 23125014.

It is not an unprimeable number, because it can be changed into a prime (23125031) 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, 7219 + ... + 9917.

It is an arithmetic number, because the mean of its divisors is an integer number (789750).

Almost surely, 223125032 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 23125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37908000).

23125032 is an abundant number, since it is smaller than the sum of its proper divisors (52690968).

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

23125032 is a wasteful number, since it uses less digits than its factorization.

23125032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23125032 is about 4808.8493426183. The cubic root of 23125032 is about 284.9010921790.

Adding to 23125032 its reverse (23052132), we get a palindrome (46177164).

Subtracting from 23125032 its reverse (23052132), we obtain a square (72900 = 2702).

The spelling of 23125032 in words is "twenty-three million, one hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2699 2856 4284 5398 8097 8568 10796 16194 18893 21592 24291 32388 37786 45883 48582 56679 64776 75572 91766 97164 113358 137649 151144 170037 183532 194328 226716 275298 321181 340074 367064 412947 453432 550596 642362 680148 825894 963543 1101192 1284724 1360296 1651788 1927086 2569448 2890629 3303576 3854172 5781258 7708344 11562516 23125032