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122242146 = 23131739059
BaseRepresentation
bin1110100100101…
…00010001100010
322112000112200220
413102110101202
5222243222041
620044023510
73013020045
oct722242142
9275015626
10122242146
1163003374
1234b31b96
131c430640
1412340c5c
15aae9d66
hex7494462

122242146 has 32 divisors (see below), whose sum is σ = 264841920. Its totient is φ = 37391424.

The previous prime is 122242129. The next prime is 122242177. The reversal of 122242146 is 641242221.

It is a happy number.

It is a super-3 number, since 3×1222421463 (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 8965 + ... + 18023.

It is an arithmetic number, because the mean of its divisors is an integer number (8276310).

Almost surely, 2122242146 is an apocalyptic number.

122242146 is an abundant number, since it is smaller than the sum of its proper divisors (142599774).

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

122242146 is a wasteful number, since it uses less digits than its factorization.

122242146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250.

The product of its digits is 1536, while the sum is 24.

The square root of 122242146 is about 11056.3170178862. The cubic root of 122242146 is about 496.2954822143.

Adding to 122242146 its reverse (641242221), we get a palindrome (763484367).

The spelling of 122242146 in words is "one hundred twenty-two million, two hundred forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 173 346 519 1038 2249 4498 6747 9059 13494 18118 27177 54354 117767 235534 353301 706602 1567207 3134414 4701621 9403242 20373691 40747382 61121073 122242146