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213208050 = 235211217691
BaseRepresentation
bin11001011010101…
…00101111110010
3112212012002110110
430231110233302
5414040124200
633053442150
75166144546
oct1455245762
9485162413
10213208050
11aa394400
125b4a0356
1335230113
142045da26
1513ab7b50
hexcb54bf2

213208050 has 144 divisors (see below), whose sum is σ = 616273056. Its totient is φ = 48576000.

The previous prime is 213208013. The next prime is 213208081. The reversal of 213208050 is 50802312.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 308205 + ... + 308895.

It is an arithmetic number, because the mean of its divisors is an integer number (4279674).

Almost surely, 2213208050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213208050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308136528).

213208050 is an abundant number, since it is smaller than the sum of its proper divisors (403065006).

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

213208050 is a wasteful number, since it uses less digits than its factorization.

213208050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 213208050 is about 14601.6454552218. The cubic root of 213208050 is about 597.4036421938.

The spelling of 213208050 in words is "two hundred thirteen million, two hundred eight thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 17 22 25 30 33 34 50 51 55 66 75 85 102 110 121 150 165 170 187 242 255 275 330 363 374 425 510 550 561 605 691 726 825 850 935 1122 1210 1275 1382 1650 1815 1870 2057 2073 2550 2805 3025 3455 3630 4114 4146 4675 5610 6050 6171 6910 7601 9075 9350 10285 10365 11747 12342 14025 15202 17275 18150 20570 20730 22803 23494 28050 30855 34550 35241 38005 45606 51425 51825 58735 61710 70482 76010 83611 102850 103650 114015 117470 129217 154275 167222 176205 190025 228030 250833 258434 293675 308550 352410 380050 387651 418055 501666 570075 587350 646085 775302 836110 881025 1140150 1254165 1292170 1421387 1762050 1938255 2090275 2508330 2842774 3230425 3876510 4180550 4264161 6270825 6460850 7106935 8528322 9691275 12541650 14213870 19382550 21320805 35534675 42641610 71069350 106604025 213208050