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214302241300 = 22527907337537
BaseRepresentation
bin1100011110010101101…
…0001011001000010100
3202111011002110211012011
43013211122023020110
512002342333210200
6242241000434004
721324415665340
oct3074532131024
9674132424164
10214302241300
1182981034834
1235649478904
1317293432054
14a52d792620
155893daa5ba
hex31e568b214

214302241300 has 72 divisors (see below), whose sum is σ = 532057098944. Its totient is φ = 73393827840.

The previous prime is 214302241297. The next prime is 214302241301. The reversal of 214302241300 is 3142203412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214302241301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466132 + ... + 803668.

Almost surely, 2214302241300 is an apocalyptic number.

214302241300 is a gapful number since it is divisible by the number (20) 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 214302241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266028549472).

214302241300 is an abundant number, since it is smaller than the sum of its proper divisors (317754857644).

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

214302241300 is a wasteful number, since it uses less digits than its factorization.

214302241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338465 (or 338458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 214302241300 its reverse (3142203412), we get a palindrome (217444444712).

The spelling of 214302241300 in words is "two hundred fourteen billion, three hundred two million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 907 1814 3628 4535 6349 9070 12698 18140 22675 25396 31745 45350 63490 90700 126980 158725 317450 337537 634900 675074 1350148 1687685 2362759 3375370 4725518 6750740 8438425 9451036 11813795 16876850 23627590 33753700 47255180 59068975 118137950 236275900 306146059 612292118 1224584236 1530730295 2143022413 3061460590 4286044826 6122921180 7653651475 8572089652 10715112065 15307302950 21430224130 30614605900 42860448260 53575560325 107151120650 214302241300