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14213220 = 2235743787
BaseRepresentation
bin110110001110…
…000001100100
3222202002212120
4312032001210
512114310340
61224345540
7231544650
oct66160144
928662776
1014213220
11802866a
1249152b0
132c384b8
141c5da60
1513ab4d0
hexd8e064

14213220 has 96 divisors (see below), whose sum is σ = 46599168. Its totient is φ = 3169152.

The previous prime is 14213209. The next prime is 14213231. The reversal of 14213220 is 2231241.

It is an interprime number because it is at equal distance from previous prime (14213209) and next prime (14213231).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14213220.

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, 17667 + ... + 18453.

It is an arithmetic number, because the mean of its divisors is an integer number (485408).

Almost surely, 214213220 is an apocalyptic number.

14213220 is a gapful number since it is divisible by the number (10) 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 14213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23299584).

14213220 is an abundant number, since it is smaller than the sum of its proper divisors (32385948).

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

14213220 is a wasteful number, since it uses less digits than its factorization.

14213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14213220 is about 3770.0424400794. The cubic root of 14213220 is about 242.2316157860.

Adding to 14213220 its reverse (2231241), we get a palindrome (16444461).

The spelling of 14213220 in words is "fourteen million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 787 860 903 1204 1290 1505 1574 1806 2361 2580 3010 3148 3612 3935 4515 4722 5509 6020 7870 9030 9444 11018 11805 15740 16527 18060 22036 23610 27545 33054 33841 47220 55090 66108 67682 82635 101523 110180 135364 165270 169205 203046 236887 330540 338410 406092 473774 507615 676820 710661 947548 1015230 1184435 1421322 2030460 2368870 2842644 3553305 4737740 7106610 14213220