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314122095 = 32572433313
BaseRepresentation
bin10010101110010…
…001111101101111
3210220002001111200
4102232101331233
51120403401340
651100420543
710532664600
oct2256217557
9726061450
10314122095
1115134a641
1289247753
1350103981
142da0bda7
151c89d330
hex12b91f6f

314122095 has 72 divisors (see below), whose sum is σ = 648297936. Its totient is φ = 140216832.

The previous prime is 314122057. The next prime is 314122099. The reversal of 314122095 is 590221413.

It is not a de Polignac number, because 314122095 - 26 = 314122031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314122099) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93159 + ... + 96471.

It is an arithmetic number, because the mean of its divisors is an integer number (9004138).

Almost surely, 2314122095 is an apocalyptic number.

314122095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

314122095 is an abundant number, since it is smaller than the sum of its proper divisors (334175841).

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

314122095 is a wasteful number, since it uses less digits than its factorization.

314122095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 314122095 is about 17723.4899215702. The cubic root of 314122095 is about 679.7765233058.

The spelling of 314122095 in words is "three hundred fourteen million, one hundred twenty-two thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 49 63 105 129 147 215 245 301 315 387 441 645 735 903 1505 1935 2107 2205 2709 3313 4515 6321 9939 10535 13545 16565 18963 23191 29817 31605 49695 69573 94815 115955 142459 149085 162337 208719 347865 427377 487011 712295 811685 997213 1043595 1282131 1461033 2136885 2435055 2991639 4986065 6410655 6980491 7305165 8974917 14958195 20941473 34902455 44874585 62824419 104707365 314122095