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220362030 = 232571093209
BaseRepresentation
bin11010010001001…
…11010100101110
3120100122112212200
431020213110232
5422403041110
633511042330
75314021620
oct1510472456
9510575780
10220362030
11103430289
12619703a6
1336866445
14213a2c10
151452c6c0
hexd22752e

220362030 has 96 divisors (see below), whose sum is σ = 661003200. Its totient is φ = 49890816.

The previous prime is 220362029. The next prime is 220362031. The reversal of 220362030 is 30263022.

220362030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220362029) and next prime (220362031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220361994 and 220362012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220362031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67066 + ... + 70274.

It is an arithmetic number, because the mean of its divisors is an integer number (6885450).

Almost surely, 2220362030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220362030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330501600).

220362030 is an abundant number, since it is smaller than the sum of its proper divisors (440641170).

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

220362030 is a wasteful number, since it uses less digits than its factorization.

220362030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 220362030 is about 14844.5959864188. The cubic root of 220362030 is about 604.0120295690.

The spelling of 220362030 in words is "two hundred twenty million, three hundred sixty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 109 126 210 218 315 327 545 630 654 763 981 1090 1526 1635 1962 2289 3209 3270 3815 4578 4905 6418 6867 7630 9627 9810 11445 13734 16045 19254 22463 22890 28881 32090 34335 44926 48135 57762 67389 68670 96270 112315 134778 144405 202167 224630 288810 336945 349781 404334 673890 699562 1010835 1049343 1748905 2021670 2098686 2448467 3148029 3497810 4896934 5246715 6296058 7345401 10493430 12242335 14690802 15740145 22036203 24484670 31480290 36727005 44072406 73454010 110181015 220362030