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314011220 = 22553296237
BaseRepresentation
bin10010101101110…
…110111001010100
3210212212102102012
4102231312321110
51120341324340
651054203352
710532023415
oct2255667124
9725772365
10314011220
11151284306
12891b3558
1350095373
142d9bd80c
151c87a565
hex12b76e54

314011220 has 24 divisors (see below), whose sum is σ = 671867784. Its totient is φ = 123234176.

The previous prime is 314011211. The next prime is 314011231. The reversal of 314011220 is 22110413.

It can be written as a sum of positive squares in 4 ways, for example, as 70526404 + 243484816 = 8398^2 + 15604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314011195 and 314011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147059 + ... + 149178.

It is an arithmetic number, because the mean of its divisors is an integer number (27994491).

Almost surely, 2314011220 is an apocalyptic number.

It is an amenable number.

314011220 is an abundant number, since it is smaller than the sum of its proper divisors (357856564).

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

314011220 is a wasteful number, since it uses less digits than its factorization.

314011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296299 (or 296297 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 314011220 is about 17720.3617344568. The cubic root of 314011220 is about 679.6965341416.

Adding to 314011220 its reverse (22110413), we get a palindrome (336121633).

The spelling of 314011220 in words is "three hundred fourteen million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 296237 592474 1184948 1481185 2962370 5924740 15700561 31401122 62802244 78502805 157005610 314011220