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220232430 = 2325111491493
BaseRepresentation
bin11010010000001…
…11101011101110
3120100101222002200
431020013223232
5422334414210
633504202330
75312642025
oct1510075356
9510358080
10220232430
11103351980
12619093a6
133681c462
142136b8bc
15145040c0
hexd207aee

220232430 has 96 divisors (see below), whose sum is σ = 629272800. Its totient is φ = 52995840.

The previous prime is 220232381. The next prime is 220232461. The reversal of 220232430 is 34232022.

220232430 is a `hidden beast` number, since 2 + 2 + 0 + 232 + 430 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 146764 + ... + 148256.

It is an arithmetic number, because the mean of its divisors is an integer number (6554925).

Almost surely, 2220232430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220232430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314636400).

220232430 is an abundant number, since it is smaller than the sum of its proper divisors (409040370).

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

220232430 is a wasteful number, since it uses less digits than its factorization.

220232430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 220232430 is about 14840.2301195096. The cubic root of 220232430 is about 603.8935952058.

Adding to 220232430 its reverse (34232022), we get a palindrome (254464452).

The spelling of 220232430 in words is "two hundred twenty million, two hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 149 165 198 298 330 447 495 745 894 990 1341 1490 1493 1639 2235 2682 2986 3278 4470 4479 4917 6705 7465 8195 8958 9834 13410 13437 14751 14930 16390 16423 22395 24585 26874 29502 32846 44790 49170 49269 67185 73755 82115 98538 134370 147510 147807 164230 222457 246345 295614 444914 492690 667371 739035 1112285 1334742 1478070 2002113 2224570 2447027 3336855 4004226 4894054 6673710 7341081 10010565 12235135 14682162 20021130 22023243 24470270 36705405 44046486 73410810 110116215 220232430