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213481000 = 2353213481
BaseRepresentation
bin11001011100101…
…11011000101000
3112212200221212201
430232113120220
5414122343000
633103345544
75201362405
oct1456273050
9485627781
10213481000
11aa560487
125b5b22b4
13352c7425
14204d12ac
1513b1d96a
hexcb97628

213481000 has 32 divisors (see below), whose sum is σ = 499547880. Its totient is φ = 85392000.

The previous prime is 213480991. The next prime is 213481001. The reversal of 213481000 is 184312.

213481000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 79245604 + 134235396 = 8902^2 + 11586^2 .

It is a super-2 number, since 2×2134810002 = 91148274722000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213481001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105741 + ... + 107740.

Almost surely, 2213481000 is an apocalyptic number.

213481000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213481000 is an abundant number, since it is smaller than the sum of its proper divisors (286066880).

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

213481000 is a wasteful number, since it uses less digits than its factorization.

213481000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213502 (or 213488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 213481000 is about 14610.9890151215. The cubic root of 213481000 is about 597.6584665146.

The spelling of 213481000 in words is "two hundred thirteen million, four hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 213481 426962 853924 1067405 1707848 2134810 4269620 5337025 8539240 10674050 21348100 26685125 42696200 53370250 106740500 213481000