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212150000 = 24554243
BaseRepresentation
bin11001010010100…
…10011011110000
3112210012100002102
430221102123300
5413302300000
633015035532
75154150056
oct1451223360
9483170072
10212150000
11a9831487
125b06bba8
1334c4c65a
14202661d6
15139593d5
hexca526f0

212150000 has 60 divisors (see below), whose sum is σ = 513888984. Its totient is φ = 84840000.

The previous prime is 212149981. The next prime is 212150011. The reversal of 212150000 is 51212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47879 + ... + 52121.

Almost surely, 2212150000 is an apocalyptic number.

212150000 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 212150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256944492).

212150000 is an abundant number, since it is smaller than the sum of its proper divisors (301738984).

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

212150000 is an frugal number, since it uses more digits than its factorization.

212150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 212150000 is about 14565.3698888837. The cubic root of 212150000 is about 596.4137930905.

It can be divided in two parts, 2 and 12150000, that multiplied together give a 5-th power (24300000 = 305).

The spelling of 212150000 in words is "two hundred twelve million, one hundred fifty 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 3125 4243 5000 6250 8486 10000 12500 16972 21215 25000 33944 42430 50000 67888 84860 106075 169720 212150 339440 424300 530375 848600 1060750 1697200 2121500 2651875 4243000 5303750 8486000 10607500 13259375 21215000 26518750 42430000 53037500 106075000 212150000