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214041750 = 23531329757
BaseRepresentation
bin11001100001000…
…00010010010110
3112220202110002020
430300200102112
5414243314000
633123354010
75206216266
oct1460402226
9486673066
10214041750
11aa90380a
125b822906
1335462730
14205d97a6
1513bceba0
hexcc20496

214041750 has 128 divisors (see below), whose sum is σ = 595969920. Its totient is φ = 50803200.

The previous prime is 214041739. The next prime is 214041757. The reversal of 214041750 is 57140412.

It is a self number, because there is not a number n which added to its sum of digits gives 214041750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214041757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282372 + ... + 283128.

It is an arithmetic number, because the mean of its divisors is an integer number (4656015).

Almost surely, 2214041750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214041750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297984960).

214041750 is an abundant number, since it is smaller than the sum of its proper divisors (381928170).

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

214041750 is a wasteful number, since it uses less digits than its factorization.

214041750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 214041750 is about 14630.1657543584. The cubic root of 214041750 is about 598.1812983327.

The spelling of 214041750 in words is "two hundred fourteen million, forty-one thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 29 30 39 50 58 65 75 78 87 125 130 145 150 174 195 250 290 325 375 377 390 435 650 725 750 754 757 870 975 1131 1450 1514 1625 1885 1950 2175 2262 2271 3250 3625 3770 3785 4350 4542 4875 5655 7250 7570 9425 9750 9841 10875 11310 11355 18850 18925 19682 21750 21953 22710 28275 29523 37850 43906 47125 49205 56550 56775 59046 65859 94250 94625 98410 109765 113550 131718 141375 147615 189250 219530 246025 282750 283875 285389 295230 329295 492050 548825 567750 570778 658590 738075 856167 1097650 1230125 1426945 1476150 1646475 1712334 2460250 2744125 2853890 3292950 3690375 4280835 5488250 7134725 7380750 8232375 8561670 14269450 16464750 21404175 35673625 42808350 71347250 107020875 214041750