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10000232214 = 237593401519
BaseRepresentation
bin10010101000000111…
…10110111100010110
3221210221012102122220
421110003312330112
5130440024412324
64332151403210
7502546366650
oct112403667426
927727172586
1010000232214
114271963525
121b31083506
13c34a6c08b
146ac1c36d0
153d7e06b79
hex2540f6f16

10000232214 has 32 divisors (see below), whose sum is σ = 22896276480. Its totient is φ = 2852383872.

The previous prime is 10000232191. The next prime is 10000232227. The reversal of 10000232214 is 41223200001.

10000232214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10000232193 and 10000232202.

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, 175854 + ... + 225665.

It is an arithmetic number, because the mean of its divisors is an integer number (715508640).

Almost surely, 210000232214 is an apocalyptic number.

10000232214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10000232214 is an abundant number, since it is smaller than the sum of its proper divisors (12896044266).

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

10000232214 is a wasteful number, since it uses less digits than its factorization.

10000232214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402124.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10000232214 its reverse (41223200001), we get a palindrome (51223432215).

The spelling of 10000232214 in words is "ten billion, two hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 593 1186 1779 3558 4151 8302 12453 24906 401519 803038 1204557 2409114 2810633 5621266 8431899 16863798 238100767 476201534 714302301 1428604602 1666705369 3333410738 5000116107 10000232214