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221466830 = 251337411123
BaseRepresentation
bin11010011001101…
…01000011001110
3120102201200101012
431030311003032
5423143414310
633550445222
75326302614
oct1514650316
9512650335
10221466830
11104015342
1262203812
1336b62280
14215ad6b4
1514699c05
hexd3350ce

221466830 has 64 divisors (see below), whose sum is σ = 452063808. Its totient is φ = 77552640.

The previous prime is 221466829. The next prime is 221466859. The reversal of 221466830 is 38664122.

221466830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 196649 + ... + 197771.

It is an arithmetic number, because the mean of its divisors is an integer number (7063497).

Almost surely, 2221466830 is an apocalyptic number.

221466830 is an abundant number, since it is smaller than the sum of its proper divisors (230596978).

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

221466830 is a wasteful number, since it uses less digits than its factorization.

221466830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 221466830 is about 14881.7616564706. The cubic root of 221466830 is about 605.0197657636.

It can be divided in two parts, 221 and 466830, that multiplied together give a triangular number (103169430 = T14364).

The spelling of 221466830 in words is "two hundred twenty-one million, four hundred sixty-six thousand, eight hundred thirty".

Divisors: 1 2 5 10 13 26 37 41 65 74 82 130 185 205 370 410 481 533 962 1066 1123 1517 2246 2405 2665 3034 4810 5330 5615 7585 11230 14599 15170 19721 29198 39442 41551 46043 72995 83102 92086 98605 145990 197210 207755 230215 415510 460430 540163 598559 1080326 1197118 1703591 2700815 2992795 3407182 5401630 5985590 8517955 17035910 22146683 44293366 110733415 221466830