Search a number
-
+
2253231504 = 243288117761
BaseRepresentation
bin1000011001001101…
…1001010110010000
312211000212000112200
42012103121112100
514103311402004
61011330323200
7106560103026
oct20623312620
95730760480
102253231504
11a569881a7
1252a729500
1329ba7b8a4
14175376716
15d2c34239
hex864d9590

2253231504 has 60 divisors (see below), whose sum is σ = 6313431852. Its totient is φ = 750182400.

The previous prime is 2253231503. The next prime is 2253231509. The reversal of 2253231504 is 4051323522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 584672400 + 1668559104 = 24180^2 + 40848^2 .

It is not an unprimeable number, because it can be changed into a prime (2253231503) 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, 117984 + ... + 135744.

Almost surely, 22253231504 is an apocalyptic number.

2253231504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2253231504 is an abundant number, since it is smaller than the sum of its proper divisors (4060200348).

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

2253231504 is a wasteful number, since it uses less digits than its factorization.

2253231504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18656 (or 18647 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2253231504 is about 47468.2157237872. The cubic root of 2253231504 is about 1310.9977256304.

The spelling of 2253231504 in words is "two billion, two hundred fifty-three million, two hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 881 1762 2643 3524 5286 7048 7929 10572 14096 15858 17761 21144 31716 35522 42288 53283 63432 71044 106566 126864 142088 159849 213132 284176 319698 426264 639396 852528 1278792 2557584 15647441 31294882 46942323 62589764 93884646 125179528 140826969 187769292 250359056 281653938 375538584 563307876 751077168 1126615752 2253231504