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305014220 = 225721916381
BaseRepresentation
bin10010001011100…
…010010111001100
3210020221022211222
4102023202113030
51111040423340
650133302512
710362402200
oct2213422714
9706838758
10305014220
11147199775
1286194a38
134b2651b4
142c71ab00
151bb9e8b5
hex122e25cc

305014220 has 72 divisors (see below), whose sum is σ = 784370160. Its totient is φ = 99066240.

The previous prime is 305014207. The next prime is 305014223. The reversal of 305014220 is 22410503.

It is not an unprimeable number, because it can be changed into a prime (305014223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10430 + ... + 26810.

It is an arithmetic number, because the mean of its divisors is an integer number (10894030).

Almost surely, 2305014220 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 305014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392185080).

305014220 is an abundant number, since it is smaller than the sum of its proper divisors (479355940).

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

305014220 is a wasteful number, since it uses less digits than its factorization.

305014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16423 (or 16414 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 305014220 is about 17464.6563092435. The cubic root of 305014220 is about 673.1420106903.

Adding to 305014220 its reverse (22410503), we get a palindrome (327424723).

The spelling of 305014220 in words is "three hundred five million, fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 9310 16381 18620 32762 65524 81905 114667 163810 229334 311239 327620 458668 573335 622478 802669 1146670 1244956 1556195 1605338 2178673 2293340 3112390 3210676 4013345 4357346 6224780 8026690 8714692 10893365 15250711 16053380 21786730 30501422 43573460 61002844 76253555 152507110 305014220