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213022208 = 29731213
BaseRepresentation
bin11001011001001…
…11011000000000
3112211211122112102
430230213120000
5414013202313
633045445532
75164442000
oct1454473000
9484748472
10213022208
11aa277813
125b4108a8
1335196659
1420412000
1513a7ca58
hexcb27600

213022208 has 80 divisors (see below), whose sum is σ = 496768800. Its totient is φ = 91219968.

The previous prime is 213022169. The next prime is 213022217. The reversal of 213022208 is 802220312.

It is a super-2 number, since 2×2130222082 = 90756922202390528, 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 213022208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175010 + ... + 176222.

It is an arithmetic number, because the mean of its divisors is an integer number (6209610).

Almost surely, 2213022208 is an apocalyptic number.

213022208 is a gapful number since it is divisible by the number (28) 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 213022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248384400).

213022208 is an abundant number, since it is smaller than the sum of its proper divisors (283746592).

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

213022208 is an frugal number, since it uses more digits than its factorization.

213022208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 213022208 is about 14595.2803330392. The cubic root of 213022208 is about 597.2300168533.

The spelling of 213022208 in words is "two hundred thirteen million, twenty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1213 1372 1568 1792 2426 2744 3136 3584 4852 5488 6272 8491 9704 10976 12544 16982 19408 21952 25088 33964 38816 43904 59437 67928 77632 87808 118874 135856 155264 175616 237748 271712 310528 416059 475496 543424 621056 832118 950992 1086848 1664236 1901984 2173696 3328472 3803968 4347392 6656944 7607936 13313888 15215872 26627776 30431744 53255552 106511104 213022208