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23225040 = 2432532257
BaseRepresentation
bin101100010011…
…0001011010000
31121200221202200
41120212023100
521421200130
62145443200
7401260326
oct130461320
947627680
1023225040
1112123353
127940500
134a72337
143127d16
15208b760
hex16262d0

23225040 has 60 divisors (see below), whose sum is σ = 77999844. Its totient is φ = 6193152.

The previous prime is 23225021. The next prime is 23225047. The reversal of 23225040 is 4052232.

It can be written as a sum of positive squares in 2 ways, for example, as 7160976 + 16064064 = 2676^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23225047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15409 + ... + 16848.

Almost surely, 223225040 is an apocalyptic number.

23225040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23225040 is an abundant number, since it is smaller than the sum of its proper divisors (54774804).

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

23225040 is a wasteful number, since it uses less digits than its factorization.

23225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32276 (or 32267 counting only the distinct ones).

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

The square root of 23225040 is about 4819.2364540454. The cubic root of 23225040 is about 285.3112020761.

Adding to 23225040 its product of nonzero digits (480), we get a triangular number (23225520 = T6815).

Adding to 23225040 its reverse (4052232), we get a palindrome (27277272).

The spelling of 23225040 in words is "twenty-three million, two hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 32257 64514 96771 129028 161285 193542 258056 290313 322570 387084 483855 516112 580626 645140 774168 967710 1161252 1290280 1451565 1548336 1935420 2322504 2580560 2903130 3870840 4645008 5806260 7741680 11612520 23225040