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220454430 = 23572149969
BaseRepresentation
bin11010010001111…
…01111000011110
3120100211020121220
431020331320132
5422414020210
633513034210
75314555200
oct1510757036
9510736556
10220454430
11103493749
12619b5966
1336899511
14213c8770
1514549c70
hexd23de1e

220454430 has 48 divisors (see below), whose sum is σ = 615476880. Its totient is φ = 50389248.

The previous prime is 220454387. The next prime is 220454449. The reversal of 220454430 is 34454022.

220454430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220454430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73515 + ... + 76454.

It is an arithmetic number, because the mean of its divisors is an integer number (12822435).

Almost surely, 2220454430 is an apocalyptic number.

220454430 is an abundant number, since it is smaller than the sum of its proper divisors (395022450).

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

220454430 is a wasteful number, since it uses less digits than its factorization.

220454430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149993 (or 149986 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 220454430 is about 14847.7079039157. The cubic root of 220454430 is about 604.0964405308.

The spelling of 220454430 in words is "two hundred twenty million, four hundred fifty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 149969 299938 449907 749845 899814 1049783 1499690 2099566 2249535 3149349 4499070 5248915 6298698 7348481 10497830 14696962 15746745 22045443 31493490 36742405 44090886 73484810 110227215 220454430