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212430233000 = 23531274333863
BaseRepresentation
bin1100010111010111010…
…1000001110110101000
3202022022121221221120102
43011311311001312220
511440024114424000
6241331125044532
721230135121236
oct3056565016650
9668277857512
10212430233000
1182100368237
1235206556748
131705564c32b
14a3d2cd3956
1557d487b3d5
hex3175d41da8

212430233000 has 128 divisors (see below), whose sum is σ = 502287851520. Its totient is φ = 84086553600.

The previous prime is 212430232997. The next prime is 212430233027. The reversal of 212430233000 is 332034212.

212430233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54989069 + ... + 54992931.

It is an arithmetic number, because the mean of its divisors is an integer number (3924123840).

Almost surely, 2212430233000 is an apocalyptic number.

212430233000 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 212430233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251143925760).

212430233000 is an abundant number, since it is smaller than the sum of its proper divisors (289857618520).

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

212430233000 is a wasteful number, since it uses less digits than its factorization.

212430233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 212430233000 its reverse (332034212), we get a palindrome (212762267212).

The spelling of 212430233000 in words is "two hundred twelve billion, four hundred thirty million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 433 500 508 635 866 1000 1016 1270 1732 2165 2540 3175 3464 3863 4330 5080 6350 7726 8660 10825 12700 15452 15875 17320 19315 21650 25400 30904 31750 38630 43300 54125 54991 63500 77260 86600 96575 108250 109982 127000 154520 193150 216500 219964 274955 386300 433000 439928 482875 490601 549910 772600 965750 981202 1099820 1374775 1672679 1931500 1962404 2199640 2453005 2749550 3345358 3863000 3924808 4906010 5499100 6690716 6873875 8363395 9812020 10998200 12265025 13381432 13747750 16726790 19624040 24530050 27495500 33453580 41816975 49060100 54991000 61325125 66907160 83633950 98120200 122650250 167267900 209084875 212430233 245300500 334535800 418169750 424860466 490601000 836339500 849720932 1062151165 1672679000 1699441864 2124302330 4248604660 5310755825 8497209320 10621511650 21243023300 26553779125 42486046600 53107558250 106215116500 212430233000