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214243320 = 23353773661
BaseRepresentation
bin11001100010100…
…01011111111000
3112221010200120210
430301101133320
5414321241240
633131551120
75211016044
oct1461213770
9487120523
10214243320
11aaa311a5
125b8bb4a0
13355033c5
142064d024
1513c1e780
hexcc517f8

214243320 has 128 divisors (see below), whose sum is σ = 670155840. Its totient is φ = 54743040.

The previous prime is 214243313. The next prime is 214243349. The reversal of 214243320 is 23342412.

214243320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 323790 + ... + 324450.

Almost surely, 2214243320 is an apocalyptic number.

214243320 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 214243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335077920).

214243320 is an abundant number, since it is smaller than the sum of its proper divisors (455912520).

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

214243320 is a wasteful number, since it uses less digits than its factorization.

214243320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 214243320 is about 14637.0529820726. The cubic root of 214243320 is about 598.3690149412.

Adding to 214243320 its reverse (23342412), we get a palindrome (237585732).

The spelling of 214243320 in words is "two hundred fourteen million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 73 74 111 120 146 148 185 219 222 292 296 365 370 438 444 555 584 661 730 740 876 888 1095 1110 1322 1460 1480 1752 1983 2190 2220 2644 2701 2920 3305 3966 4380 4440 5288 5402 6610 7932 8103 8760 9915 10804 13220 13505 15864 16206 19830 21608 24457 26440 27010 32412 39660 40515 48253 48914 54020 64824 73371 79320 81030 96506 97828 108040 122285 144759 146742 162060 193012 195656 241265 244570 289518 293484 324120 366855 386024 482530 489140 579036 586968 723795 733710 965060 978280 1158072 1447590 1467420 1785361 1930120 2895180 2934840 3570722 5356083 5790360 7141444 8926805 10712166 14282888 17853610 21424332 26780415 35707220 42848664 53560830 71414440 107121660 214243320