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122431230 = 23352771637
BaseRepresentation
bin1110100110000…
…10011011111110
322112101011002000
413103002123332
5222320244410
620052043130
73014435235
oct723023376
9275334060
10122431230
1163122439
12350034a6
131c49871c
141238db1c
15ab35dc0
hex74c26fe

122431230 has 64 divisors (see below), whose sum is σ = 327862080. Its totient is φ = 32510592.

The previous prime is 122431223. The next prime is 122431241. The reversal of 122431230 is 32134221.

122431230 is a `hidden beast` number, since 1 + 2 + 2 + 431 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73972 + ... + 75608.

It is an arithmetic number, because the mean of its divisors is an integer number (5122845).

Almost surely, 2122431230 is an apocalyptic number.

122431230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122431230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163931040).

122431230 is an abundant number, since it is smaller than the sum of its proper divisors (205430850).

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

122431230 is a wasteful number, since it uses less digits than its factorization.

122431230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122431230 is about 11064.8646625252. The cubic root of 122431230 is about 496.5512401366.

Adding to 122431230 its reverse (32134221), we get a palindrome (154565451).

The spelling of 122431230 in words is "one hundred twenty-two million, four hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 277 554 831 1385 1637 1662 2493 2770 3274 4155 4911 4986 7479 8185 8310 9822 12465 14733 14958 16370 24555 24930 29466 37395 44199 49110 73665 74790 88398 147330 220995 441990 453449 906898 1360347 2267245 2720694 4081041 4534490 6801735 8162082 12243123 13603470 20405205 24486246 40810410 61215615 122431230