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122424305 = 5372772389
BaseRepresentation
bin1110100110000…
…00101111110001
322112100210120112
413103000233301
5222320034210
620051551105
73014406113
oct723005761
9275323515
10122424305
1163118213
1234bbb495
131c495523
141238b3b3
15ab33d05
hex74c0bf1

122424305 has 16 divisors (see below), whose sum is σ = 151487760. Its totient is φ = 94908672.

The previous prime is 122424287. The next prime is 122424373. The reversal of 122424305 is 503424221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3352561 + 119071744 = 1831^2 + 10912^2 .

It is a cyclic number.

It is not a de Polignac number, because 122424305 - 26 = 122424241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50051 + ... + 52439.

It is an arithmetic number, because the mean of its divisors is an integer number (9467985).

Almost surely, 2122424305 is an apocalyptic number.

It is an amenable number.

122424305 is a deficient number, since it is larger than the sum of its proper divisors (29063455).

122424305 is a wasteful number, since it uses less digits than its factorization.

122424305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 122424305 is about 11064.5517306396. The cubic root of 122424305 is about 496.5418779225.

Adding to 122424305 its reverse (503424221), we get a palindrome (625848526).

The spelling of 122424305 in words is "one hundred twenty-two million, four hundred twenty-four thousand, three hundred five".

Divisors: 1 5 37 185 277 1385 2389 10249 11945 51245 88393 441965 661753 3308765 24484861 122424305