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213034248 = 233273311277
BaseRepresentation
bin11001011001010…
…10010100001000
3112211212021001100
430230222110020
5414014043443
633050021400
75164522050
oct1454522410
9484767040
10213034248
11aa285869
125b417860
133519bc8b
1420416560
1513a813d3
hexcb2a508

213034248 has 96 divisors (see below), whose sum is σ = 661901760. Its totient is φ = 60635520.

The previous prime is 213034231. The next prime is 213034277. The reversal of 213034248 is 842430312.

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 23 ways as a sum of consecutive naturals, for example, 166186 + ... + 167462.

It is an arithmetic number, because the mean of its divisors is an integer number (6894810).

Almost surely, 2213034248 is an apocalyptic number.

213034248 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 213034248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330950880).

213034248 is an abundant number, since it is smaller than the sum of its proper divisors (448867512).

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

213034248 is a wasteful number, since it uses less digits than its factorization.

213034248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 213034248 is about 14595.6927893129. The cubic root of 213034248 is about 597.2412684407.

The spelling of 213034248 in words is "two hundred thirteen million, thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 331 504 662 993 1277 1324 1986 2317 2554 2648 2979 3831 3972 4634 5108 5958 6951 7662 7944 8939 9268 10216 11493 11916 13902 15324 17878 18536 20853 22986 23832 26817 27804 30648 35756 41706 45972 53634 55608 71512 80451 83412 91944 107268 160902 166824 214536 321804 422687 643608 845374 1268061 1690748 2536122 2958809 3381496 3804183 5072244 5917618 7608366 8876427 10144488 11835236 15216732 17752854 23670472 26629281 30433464 35505708 53258562 71011416 106517124 213034248