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213451350 = 235272113257
BaseRepresentation
bin11001011100100…
…00001001010110
3112212122110012120
430232100021112
5414120420400
633103000410
75201210100
oct1456201126
9485573176
10213451350
11aa540182
125b599106
13352b6a98
14204c4570
1513b14ca0
hexcb90256

213451350 has 144 divisors (see below), whose sum is σ = 623652048. Its totient is φ = 48168960.

The previous prime is 213451331. The next prime is 213451351. The reversal of 213451350 is 53154312.

It is a super-2 number, since 2×2134513502 = 91122957633645000, 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 213451350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213451351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 830422 + ... + 830678.

It is an arithmetic number, because the mean of its divisors is an integer number (4330917).

Almost surely, 2213451350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213451350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311826024).

213451350 is an abundant number, since it is smaller than the sum of its proper divisors (410200698).

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

213451350 is a wasteful number, since it uses less digits than its factorization.

213451350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 213451350 is about 14609.9743326263. The cubic root of 213451350 is about 597.6307959897.

The spelling of 213451350 in words is "two hundred thirteen million, four hundred fifty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 113 147 150 175 210 226 245 257 294 339 350 490 514 525 565 678 735 771 791 1050 1130 1225 1285 1470 1542 1582 1695 1799 2373 2450 2570 2825 3390 3598 3675 3855 3955 4746 5397 5537 5650 6425 7350 7710 7910 8475 8995 10794 11074 11865 12593 12850 16611 16950 17990 19275 19775 23730 25186 26985 27685 29041 33222 37779 38550 39550 44975 53970 55370 58082 59325 62965 75558 83055 87123 89950 118650 125930 134925 138425 145205 166110 174246 188895 203287 269850 276850 290410 314825 377790 406574 415275 435615 609861 629650 726025 830550 871230 944475 1016435 1219722 1423009 1452050 1888950 2032870 2178075 2846018 3049305 4269027 4356150 5082175 6098610 7115045 8538054 10164350 14230090 15246525 21345135 30493050 35575225 42690270 71150450 106725675 213451350