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211234002 = 23723891847
BaseRepresentation
bin11001001011100…
…10110011010010
3112201110210120120
430211302303102
5413033442002
632543251110
75143313400
oct1445626322
9481423516
10211234002
11a9266261
125a8a9a96
13349bb745
14200a8470
1513827cbc
hexc972cd2

211234002 has 48 divisors (see below), whose sum is σ = 492972480. Its totient is φ = 60164832.

The previous prime is 211233989. The next prime is 211234013. The reversal of 211234002 is 200432112.

211234002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113443 + ... + 115289.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2211234002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211234002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246486240).

211234002 is an abundant number, since it is smaller than the sum of its proper divisors (281738478).

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

211234002 is a wasteful number, since it uses less digits than its factorization.

211234002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2248 counting only the distinct ones).

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

The square root of 211234002 is about 14533.8914953979. The cubic root of 211234002 is about 595.5541780313.

Adding to 211234002 its reverse (200432112), we get a palindrome (411666114).

The spelling of 211234002 in words is "two hundred eleven million, two hundred thirty-four thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 389 778 1167 1847 2334 2723 3694 5446 5541 8169 11082 12929 16338 19061 25858 38122 38787 57183 77574 90503 114366 181006 271509 543018 718483 1436966 2155449 4310898 5029381 10058762 15088143 30176286 35205667 70411334 105617001 211234002