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213257550 = 235211307421
BaseRepresentation
bin11001011011000…
…00110101001110
3112212021121100210
430231200311032
5414043220200
633054503250
75166442062
oct1455406516
9485247323
10213257550
11aa418610
125b504b26
13352497cc
1420473aa2
1513ac7650
hexcb60d4e

213257550 has 96 divisors (see below), whose sum is σ = 580212864. Its totient is φ = 51408000.

The previous prime is 213257543. The next prime is 213257567. The reversal of 213257550 is 55752312.

213257550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506340 + ... + 506760.

It is an arithmetic number, because the mean of its divisors is an integer number (6043884).

Almost surely, 2213257550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213257550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290106432).

213257550 is an abundant number, since it is smaller than the sum of its proper divisors (366955314).

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

213257550 is a wasteful number, since it uses less digits than its factorization.

213257550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 213257550 is about 14603.3403712986. The cubic root of 213257550 is about 597.4498712051.

The spelling of 213257550 in words is "two hundred thirteen million, two hundred fifty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 307 330 421 550 614 825 842 921 1263 1535 1650 1842 2105 2526 3070 3377 4210 4605 4631 6315 6754 7675 9210 9262 10131 10525 12630 13893 15350 16885 20262 21050 23025 23155 27786 31575 33770 46050 46310 50655 63150 69465 84425 101310 115775 129247 138930 168850 231550 253275 258494 347325 387741 506550 646235 694650 775482 1292470 1421717 1938705 2843434 3231175 3877410 4265151 6462350 7108585 8530302 9693525 14217170 19387050 21325755 35542925 42651510 71085850 106628775 213257550