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233323125 = 354729613
BaseRepresentation
bin11011110100000…
…11101001110101
3121021001001011020
431322003221311
5434212320000
635052531353
75532133230
oct1572035165
9537031136
10233323125
1110a783132
1266180b59
1339453a29
1422db8417
151573cba0
hexde83a75

233323125 has 80 divisors (see below), whose sum is σ = 460352640. Its totient is φ = 102816000.

The previous prime is 233323091. The next prime is 233323127. The reversal of 233323125 is 521323332.

It is not a de Polignac number, because 233323125 - 26 = 233323061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233323095 and 233323104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233323127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 380319 + ... + 380931.

It is an arithmetic number, because the mean of its divisors is an integer number (5754408).

Almost surely, 2233323125 is an apocalyptic number.

233323125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233323125 is a deficient number, since it is larger than the sum of its proper divisors (227029515).

233323125 is an equidigital number, since it uses as much as digits as its factorization.

233323125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 657 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 233323125 is about 15274.9181667202. The cubic root of 233323125 is about 615.6292719605.

Adding to 233323125 its reverse (521323332), we get a palindrome (754646457).

The spelling of 233323125 in words is "two hundred thirty-three million, three hundred twenty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 29 35 75 87 105 125 145 175 203 375 435 525 609 613 625 725 875 1015 1839 1875 2175 2625 3045 3065 3625 4291 4375 5075 9195 10875 12873 13125 15225 15325 17777 18125 21455 25375 45975 53331 54375 64365 76125 76625 88885 107275 124439 126875 229875 266655 321825 373317 380625 383125 444425 536375 622195 1149375 1333275 1609125 1866585 2222125 2681875 3110975 6666375 8045625 9332925 11110625 15554875 33331875 46664625 77774375 233323125