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214515250000 = 24562337307
BaseRepresentation
bin1100011111001000011…
…0101111001101010000
3202111200221021210012021
43013302012233031100
512003311401000000
6242314050141224
721332613353062
oct3076206571520
9674627253167
10214515250000
1182a802a2387
12356a8881814
13172c85c24bc
14a54db9d732
1558a793411a
hex31f21af350

214515250000 has 140 divisors (see below), whose sum is σ = 542124935712. Its totient is φ = 82073200000.

The previous prime is 214515249973. The next prime is 214515250021. The reversal of 214515250000 is 52515412.

214515250000 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 (25).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 5731347 + ... + 5768653.

Almost surely, 2214515250000 is an apocalyptic number.

214515250000 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 214515250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271062467856).

214515250000 is an abundant number, since it is smaller than the sum of its proper divisors (327609685712).

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

214515250000 is an frugal number, since it uses more digits than its factorization.

214515250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37368 (or 37337 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 214515250000 its reverse (52515412), we get a palindrome (214567765412).

The spelling of 214515250000 in words is "two hundred fourteen billion, five hundred fifteen million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 3125 4600 5000 5750 6250 9200 10000 11500 12500 14375 15625 23000 25000 28750 31250 37307 46000 50000 57500 62500 71875 74614 115000 125000 143750 149228 186535 230000 250000 287500 298456 359375 373070 575000 596912 718750 746140 858061 932675 1150000 1437500 1492280 1716122 1865350 2875000 2984560 3432244 3730700 4290305 4663375 5750000 6864488 7461400 8580610 9326750 13728976 14922800 17161220 18653500 21451525 23316875 34322440 37307000 42903050 46633750 68644880 74614000 85806100 93267500 107257625 116584375 171612200 186535000 214515250 233168750 343224400 373070000 429030500 466337500 536288125 582921875 858061000 932675000 1072576250 1165843750 1716122000 1865350000 2145152500 2331687500 2681440625 4290305000 4663375000 5362881250 8580610000 9326750000 10725762500 13407203125 21451525000 26814406250 42903050000 53628812500 107257625000 214515250000