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220053204 = 223271078161
BaseRepresentation
bin11010001110110…
…11111011010100
3120100001212020200
431013123323110
5422313200304
633500300500
75311264350
oct1507337324
9510055220
10220053204
1110323a258
1261841730
13367889c7
1421322460
15144bae39
hexd1dbed4

220053204 has 72 divisors (see below), whose sum is σ = 641729088. Its totient is φ = 62277120.

The previous prime is 220053203. The next prime is 220053209. The reversal of 220053204 is 402350022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220053203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22884 + ... + 31044.

It is an arithmetic number, because the mean of its divisors is an integer number (8912904).

Almost surely, 2220053204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220053204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320864544).

220053204 is an abundant number, since it is smaller than the sum of its proper divisors (421675884).

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

220053204 is a wasteful number, since it uses less digits than its factorization.

220053204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 220053204 is about 14834.1903722448. The cubic root of 220053204 is about 603.7297337693.

The spelling of 220053204 in words is "two hundred twenty million, fifty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8161 8988 13482 16322 24483 26964 32644 48966 57127 73449 97932 114254 146898 171381 228508 293796 342762 514143 685524 873227 1028286 1746454 2056572 2619681 3492908 5239362 6112589 7859043 10478724 12225178 15718086 18337767 24450356 31436172 36675534 55013301 73351068 110026602 220053204