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212424023000 = 2353731396953
BaseRepresentation
bin1100010111010101110…
…1010101101111011000
3202022022012021110001102
43011311131111233120
511440021022214000
6241330344010532
721230031255260
oct3056535255730
9668265243042
10212424023000
11820a7906602
1235204460a48
1317054286887
14a3d21587a0
1557d40513d5
hex3175755bd8

212424023000 has 128 divisors (see below), whose sum is σ = 569903368320. Its totient is φ = 72597657600.

The previous prime is 212424022997. The next prime is 212424023029. The reversal of 212424023000 is 320424212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142524 + ... + 2239476.

It is an arithmetic number, because the mean of its divisors is an integer number (4452370065).

Almost surely, 2212424023000 is an apocalyptic number.

212424023000 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 212424023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284951684160).

212424023000 is an abundant number, since it is smaller than the sum of its proper divisors (357479345320).

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

212424023000 is a wasteful number, since it uses less digits than its factorization.

212424023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97294 (or 97280 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 212424023000 its reverse (320424212), we get a palindrome (212744447212).

The spelling of 212424023000 in words is "two hundred twelve billion, four hundred twenty-four million, twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 313 350 500 626 700 875 1000 1252 1400 1565 1750 2191 2504 3130 3500 4382 6260 7000 7825 8764 10955 12520 15650 17528 21910 31300 39125 43820 54775 62600 78250 87640 96953 109550 156500 193906 219100 273875 313000 387812 438200 484765 547750 678671 775624 969530 1095500 1357342 1939060 2191000 2423825 2714684 3393355 3878120 4847650 5429368 6786710 9695300 12119125 13573420 16966775 19390600 24238250 27146840 30346289 33933550 48476500 60692578 67867100 84833875 96953000 121385156 135734200 151731445 169667750 212424023 242770312 303462890 339335500 424848046 606925780 678671000 758657225 849696092 1062120115 1213851560 1517314450 1699392184 2124240230 3034628900 3793286125 4248480460 5310600575 6069257800 7586572250 8496960920 10621201150 15173144500 21242402300 26553002875 30346289000 42484804600 53106005750 106212011500 212424023000