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314222720 = 275770139
BaseRepresentation
bin10010101110101…
…010100010000000
3210220021011112112
4102232222202000
51120420111340
651102514452
710533564140
oct2256524200
9726234475
10314222720
111514091a9
1289295a28
135013a706
142da36920
151c8bd065
hex12baa880

314222720 has 64 divisors (see below), whose sum is σ = 858513600. Its totient is φ = 107731968.

The previous prime is 314222719. The next prime is 314222749. The reversal of 314222720 is 27222413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30590 + ... + 39549.

It is an arithmetic number, because the mean of its divisors is an integer number (13414275).

Almost surely, 2314222720 is an apocalyptic number.

It is an amenable number.

314222720 is an abundant number, since it is smaller than the sum of its proper divisors (544290880).

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

314222720 is an equidigital number, since it uses as much as digits as its factorization.

314222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70165 (or 70153 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 314222720 is about 17726.3284410506. The cubic root of 314222720 is about 679.8491014647.

The spelling of 314222720 in words is "three hundred fourteen million, two hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 70139 140278 280556 350695 490973 561112 701390 981946 1122224 1402780 1963892 2244448 2454865 2805560 3927784 4488896 4909730 5611120 7855568 8977792 9819460 11222240 15711136 19638920 22444480 31422272 39277840 44888960 62844544 78555680 157111360 314222720