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253033000 = 23531123003
BaseRepresentation
bin11110001010011…
…11101000101000
3122122010102000121
433011033220220
51004234024000
641035213024
76161513353
oct1705175050
9578112017
10253033000
1111a915490
12708a7174
134056508c
142586929a
1517332b1a
hexf14fa28

253033000 has 64 divisors (see below), whose sum is σ = 645952320. Its totient is φ = 92008000.

The previous prime is 253032991. The next prime is 253033009. The reversal of 253033000 is 330352.

253033000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253032991) and next prime (253033009).

It is not an unprimeable number, because it can be changed into a prime (253033009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502 + ... + 22501.

It is an arithmetic number, because the mean of its divisors is an integer number (10093005).

Almost surely, 2253033000 is an apocalyptic number.

253033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322976160).

253033000 is an abundant number, since it is smaller than the sum of its proper divisors (392919320).

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

253033000 is a wasteful number, since it uses less digits than its factorization.

253033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23035 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 253033000 is about 15907.0110328748. The cubic root of 253033000 is about 632.4978518573.

Adding to 253033000 its reverse (330352), we get a palindrome (253363352).

The spelling of 253033000 in words is "two hundred fifty-three million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 23003 46006 92012 115015 184024 230030 253033 460060 506066 575075 920120 1012132 1150150 1265165 2024264 2300300 2530330 2875375 4600600 5060660 5750750 6325825 10121320 11501500 12651650 23003000 25303300 31629125 50606600 63258250 126516500 253033000