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314443220 = 2257131710163
BaseRepresentation
bin10010101111100…
…000010111010100
3210220200101000012
4102233200113110
51120444140340
651111335352
710535503040
oct2257402724
9726611005
10314443220
11151549933
1289381558
13501b6ba0
142da93020
151c913565
hex12be05d4

314443220 has 96 divisors (see below), whose sum is σ = 860606208. Its totient is φ = 93652992.

The previous prime is 314443187. The next prime is 314443247. The reversal of 314443220 is 22344413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25859 + ... + 36021.

It is an arithmetic number, because the mean of its divisors is an integer number (8964648).

Almost surely, 2314443220 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 314443220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430303104).

314443220 is an abundant number, since it is smaller than the sum of its proper divisors (546162988).

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

314443220 is a wasteful number, since it uses less digits than its factorization.

314443220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209 (or 10207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 314443220 is about 17732.5469123868. The cubic root of 314443220 is about 680.0080881391.

Adding to 314443220 its reverse (22344413), we get a palindrome (336787633).

It can be divided in two parts, 3144 and 43220, that added together give a palindrome (46364).

The spelling of 314443220 in words is "three hundred fourteen million, four hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2210 2380 3094 4420 6188 7735 10163 15470 20326 30940 40652 50815 71141 101630 132119 142282 172771 203260 264238 284564 345542 355705 528476 660595 691084 711410 863855 924833 1209397 1321190 1422820 1727710 1849666 2246023 2418794 2642380 3455420 3699332 4492046 4624165 4837588 6046985 8984092 9248330 11230115 12093970 15722161 18496660 22460230 24187940 31444322 44920460 62888644 78610805 157221610 314443220