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314222220 = 2233513172633
BaseRepresentation
bin10010101110101…
…010011010001100
3210220021010212000
4102232222122030
51120420102340
651102512300
710533562524
oct2256523214
9726233760
10314222220
11151408894
1289295690
135013a410
142da36684
151c8bcd30
hex12baa68c

314222220 has 192 divisors, whose sum is σ = 1115130240. Its totient is φ = 72769536.

The previous prime is 314222219. The next prime is 314222239. The reversal of 314222220 is 22222413.

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

It is a junction number, because it is equal to n+sod(n) for n = 314222193 and 314222202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118024 + ... + 120656.

It is an arithmetic number, because the mean of its divisors is an integer number (5807970).

Almost surely, 2314222220 is an apocalyptic number.

314222220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557565120).

314222220 is an abundant number, since it is smaller than the sum of its proper divisors (800908020).

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

314222220 is a wasteful number, since it uses less digits than its factorization.

314222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 314222220 is about 17726.3143377297. The cubic root of 314222220 is about 679.8487408662.

Adding to 314222220 its reverse (22222413), we get a palindrome (336444633).

The spelling of 314222220 in words is "three hundred fourteen million, two hundred twenty-two thousand, two hundred twenty".