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314334220 = 225611012551
BaseRepresentation
bin10010101111000…
…101110000001100
3210220110211111011
4102233011300030
51120432143340
651105135004
710534540204
oct2257056014
9726424434
10314334220
11151484a52
128932a464
13501793a5
142da65404
151c8e10ea
hex12bc5c0c

314334220 has 48 divisors (see below), whose sum is σ = 677831616. Its totient is φ = 122400000.

The previous prime is 314334217. The next prime is 314334259. The reversal of 314334220 is 22433413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314334191 and 314334200.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 121945 + ... + 124495.

It is an arithmetic number, because the mean of its divisors is an integer number (14121492).

Almost surely, 2314334220 is an apocalyptic number.

It is an amenable number.

314334220 is an abundant number, since it is smaller than the sum of its proper divisors (363497396).

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

314334220 is a wasteful number, since it uses less digits than its factorization.

314334220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 314334220 is about 17729.4732014237. The cubic root of 314334220 is about 679.9295053796.

Adding to 314334220 its reverse (22433413), we get a palindrome (336767633).

It can be divided in two parts, 31433 and 4220, that added together give a palindrome (35653).

The spelling of 314334220 in words is "three hundred fourteen million, three hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 101 122 202 244 305 404 505 610 1010 1220 2020 2551 5102 6161 10204 12322 12755 24644 25510 30805 51020 61610 123220 155611 257651 311222 515302 622444 778055 1030604 1288255 1556110 2576510 3112220 5153020 15716711 31433422 62866844 78583555 157167110 314334220