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233324252 = 227171034759
BaseRepresentation
bin11011110100000…
…11111011011100
3121021001002200222
431322003323130
5434212334002
635052540512
75532136430
oct1572037334
9537032628
10233324252
1110a783a67
1266181738
13394543b5
1422db89c0
151573d1a2
hexde83edc

233324252 has 48 divisors (see below), whose sum is σ = 499000320. Its totient is φ = 93180672.

The previous prime is 233324243. The next prime is 233324261. The reversal of 233324252 is 252423332.

It is an interprime number because it is at equal distance from previous prime (233324243) and next prime (233324261).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46649 + ... + 51407.

It is an arithmetic number, because the mean of its divisors is an integer number (10395840).

Almost surely, 2233324252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233324252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

233324252 is an abundant number, since it is smaller than the sum of its proper divisors (265676068).

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

233324252 is a wasteful number, since it uses less digits than its factorization.

233324252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4888 counting only the distinct ones).

The product of its digits is 8640, while the sum is 26.

The square root of 233324252 is about 15274.9550572170. The cubic root of 233324252 is about 615.6302631654.

Adding to 233324252 its reverse (252423332), we get a palindrome (485747584).

The spelling of 233324252 in words is "two hundred thirty-three million, three hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 103 119 206 238 412 476 721 1442 1751 2884 3502 4759 7004 9518 12257 19036 24514 33313 49028 66626 80903 133252 161806 323612 490177 566321 980354 1132642 1960708 2265284 3431239 6862478 8333009 13724956 16666018 33332036 58331063 116662126 233324252