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122248287 = 32731992
BaseRepresentation
bin1110100100101…
…01110001011111
322112000212010100
413102111301133
5222243421122
620044112143
73013044000
oct722256137
9275025110
10122248287
1163007a47
1234b35653
131c433385
14123431a7
15aaebaac
hex7495c5f

122248287 has 36 divisors (see below), whose sum is σ = 206965200. Its totient is φ = 69505128.

The previous prime is 122248277. The next prime is 122248303. The reversal of 122248287 is 782842221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 122248287 - 28 = 122248031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122248277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 614214 + ... + 614412.

Almost surely, 2122248287 is an apocalyptic number.

122248287 is a deficient number, since it is larger than the sum of its proper divisors (84716913).

122248287 is an frugal number, since it uses more digits than its factorization.

122248287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 209 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 122248287 is about 11056.5947289389. The cubic root of 122248287 is about 496.3037927674.

Multiplying 122248287 by its product of digits (28672), we get a square (3505102884864 = 18721922).

The spelling of 122248287 in words is "one hundred twenty-two million, two hundred forty-eight thousand, two hundred eighty-seven".

Divisors: 1 3 7 9 21 49 63 147 199 343 441 597 1029 1393 1791 3087 4179 9751 12537 29253 39601 68257 87759 118803 204771 277207 356409 614313 831621 1940449 2494863 5821347 13583143 17464041 40749429 122248287