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122023242 = 232112979269
BaseRepresentation
bin1110100010111…
…10110101001010
322111121102102100
413101132311022
5222214220432
620035214230
73011115615
oct721366512
9274542370
10122023242
1162973960
1234a47376
131c384b03
14122c517c
15aaa507c
hex745ed4a

122023242 has 96 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 35118720.

The previous prime is 122023217. The next prime is 122023247. The reversal of 122023242 is 242320221.

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

It is not an unprimeable number, because it can be changed into a prime (122023247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453484 + ... + 453752.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2122023242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122023242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

122023242 is an abundant number, since it is smaller than the sum of its proper divisors (181240758).

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

122023242 is a wasteful number, since it uses less digits than its factorization.

122023242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122023242 is about 11046.4130829876. The cubic root of 122023242 is about 495.9990596800. Note that the first 3 decimals are identical.

Adding to 122023242 its reverse (242320221), we get a palindrome (364343463).

It can be divided in two parts, 122023 and 242, that added together give a triangular number (122265 = T494).

The spelling of 122023242 in words is "one hundred twenty-two million, twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 79 87 99 158 174 198 237 261 269 319 474 522 538 638 711 807 869 957 1422 1614 1738 1914 2291 2421 2607 2871 2959 4582 4842 5214 5742 5918 6873 7801 7821 8877 13746 15602 15642 17754 20619 21251 23403 25201 26631 41238 42502 46806 50402 53262 63753 70209 75603 85811 127506 140418 151206 171622 191259 226809 233761 257433 382518 453618 467522 514866 616279 701283 772299 1232558 1402566 1544598 1848837 2103849 3697674 4207698 5546511 6779069 11093022 13558138 20337207 40674414 61011621 122023242