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230211210230000 = 245469713302413
BaseRepresentation
bin110100010110000000111001…
…011010001011100011110000
31010012002222101001122012010122
4310112000321122023203300
5220133240024304330000
62133341323040545412
766330132253236236
oct6426007132134360
91105088331565118
10230211210230000
116739703164329a
12219a0584622268
139b5ba9337138c
1440bc3d3c48956
151b934c6557085
hexd1603968b8f0

230211210230000 has 100 divisors (see below), whose sum is σ = 557444484608088. Its totient is φ = 92071246560000.

The previous prime is 230211210229951. The next prime is 230211210230083. The reversal of 230211210230000 is 32012112032.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2302112102300002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68058794 + ... + 71361206.

Almost surely, 2230211210230000 is an apocalyptic number.

230211210230000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230211210230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278722242304044).

230211210230000 is an abundant number, since it is smaller than the sum of its proper divisors (327233274378088).

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

230211210230000 is an equidigital number, since it uses as much as digits as its factorization.

230211210230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309412 (or 3309391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 230211210230000 its reverse (32012112032), we get a palindrome (230243222342032).

The spelling of 230211210230000 in words is "two hundred thirty trillion, two hundred eleven billion, two hundred ten million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6971 10000 13942 27884 34855 55768 69710 111536 139420 174275 278840 348550 557680 697100 871375 1394200 1742750 2788400 3302413 3485500 4356875 6604826 6971000 8713750 13209652 13942000 16512065 17427500 26419304 33024130 34855000 52838608 66048260 69710000 82560325 132096520 165120650 264193040 330241300 412801625 660482600 825603250 1320965200 1651206500 2064008125 3302413000 4128016250 6604826000 8256032500 16512065000 23021121023 33024130000 46042242046 92084484092 115105605115 184168968184 230211210230 368337936368 460422420460 575528025575 920844840920 1151056051150 1841689681840 2302112102300 2877640127875 4604224204600 5755280255750 9208448409200 11510560511500 14388200639375 23021121023000 28776401278750 46042242046000 57552802557500 115105605115000 230211210230000