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10229052330 = 23357431509
BaseRepresentation
bin10011000011011001…
…01111001110101010
3222101212202200212000
421201230233032222
5131422114133310
64411004031430
7511325340000
oct114154571652
928355680760
1010229052330
11437a040462
121b95832576
13c702a72b3
146d0748a70
153ed0554c0
hex261b2f3aa

10229052330 has 320 divisors, whose sum is σ = 32912870400. Its totient is φ = 2258202240.

The previous prime is 10229052293. The next prime is 10229052343. The reversal of 10229052330 is 3325092201.

10229052330 is a `hidden beast` number, since 1 + 0 + 22 + 90 + 523 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10229052294 and 10229052303.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20096116 + ... + 20096624.

It is an arithmetic number, because the mean of its divisors is an integer number (102852720).

Almost surely, 210229052330 is an apocalyptic number.

10229052330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10229052330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16456435200).

10229052330 is an abundant number, since it is smaller than the sum of its proper divisors (22683818070).

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

10229052330 is an equidigital number, since it uses as much as digits as its factorization.

10229052330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 10229052330 in words is "ten billion, two hundred twenty-nine million, fifty-two thousand, three hundred thirty".