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252235500 = 223531115287
BaseRepresentation
bin11110000100011…
…00111011101100
3122120121220001120
433002030323230
51004033014000
641010140540
76151652316
oct1702147354
9576556046
10252235500
1111a4202a0
1270581750
134034609a
14256dc7b6
15172266a0
hexf08ceec

252235500 has 96 divisors (see below), whose sum is σ = 801335808. Its totient is φ = 61144000.

The previous prime is 252235447. The next prime is 252235531. The reversal of 252235500 is 5532252.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8857 + ... + 24143.

It is an arithmetic number, because the mean of its divisors is an integer number (8347248).

Almost surely, 2252235500 is an apocalyptic number.

252235500 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 252235500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400667904).

252235500 is an abundant number, since it is smaller than the sum of its proper divisors (549100308).

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

252235500 is a wasteful number, since it uses less digits than its factorization.

252235500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320 (or 15308 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 252235500 is about 15881.9236870097. The cubic root of 252235500 is about 631.8326581197.

Adding to 252235500 its reverse (5532252), we get a palindrome (257767752).

The spelling of 252235500 in words is "two hundred fifty-two million, two hundred thirty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 8250 15287 16500 30574 45861 61148 76435 91722 152870 168157 183444 229305 305740 336314 382175 458610 504471 672628 764350 840785 917220 1008942 1146525 1528700 1681570 1910875 2017884 2293050 2522355 3363140 3821750 4203925 4586100 5044710 5732625 7643500 8407850 10089420 11465250 12611775 16815700 21019625 22930500 25223550 42039250 50447100 63058875 84078500 126117750 252235500