Search a number
-
+
212981300 = 22527304259
BaseRepresentation
bin11001011000111…
…01011000110100
3112211202120102022
430230131120310
5414010400200
633044532312
75164211510
oct1454353064
9484676368
10212981300
11aa24a004
125b3b1098
1335180b4c
1420401140
1513a70885
hexcb1d634

212981300 has 36 divisors (see below), whose sum is σ = 528195360. Its totient is φ = 73021920.

The previous prime is 212981273. The next prime is 212981303. The reversal of 212981300 is 3189212.

212981300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2129813002 = 90722068299380000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212981300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212981303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151430 + ... + 152829.

Almost surely, 2212981300 is an apocalyptic number.

212981300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212981300 is an abundant number, since it is smaller than the sum of its proper divisors (315214060).

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

212981300 is a wasteful number, since it uses less digits than its factorization.

212981300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304280 (or 304273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 212981300 is about 14593.8788538209. The cubic root of 212981300 is about 597.1917844552.

The spelling of 212981300 in words is "two hundred twelve million, nine hundred eighty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 304259 608518 1217036 1521295 2129813 3042590 4259626 6085180 7606475 8519252 10649065 15212950 21298130 30425900 42596260 53245325 106490650 212981300