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122213442 = 231317374753
BaseRepresentation
bin1110100100011…
…01010001000010
322111222002022210
413102031101002
5222241312232
620043242550
73012540261
oct722152102
9274862283
10122213442
1162a9384a
1234b19456
131c420560
14123345d8
15aae15cc
hex748d442

122213442 has 128 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 33067008.

The previous prime is 122213431. The next prime is 122213447. The reversal of 122213442 is 244312221.

It is a super-2 number, since 2×1222134422 = 29872250810974728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122213447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2305888 + ... + 2305940.

It is an arithmetic number, because the mean of its divisors is an integer number (2326968).

Almost surely, 2122213442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122213442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

122213442 is an abundant number, since it is smaller than the sum of its proper divisors (175638462).

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

122213442 is a wasteful number, since it uses less digits than its factorization.

122213442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its digits is 768, while the sum is 21.

The square root of 122213442 is about 11055.0188602281. The cubic root of 122213442 is about 496.2566336907.

Adding to 122213442 its reverse (244312221), we get a palindrome (366525663).

The spelling of 122213442 in words is "one hundred twenty-two million, two hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 37 39 47 51 53 74 78 94 102 106 111 141 159 221 222 282 318 442 481 611 629 663 689 799 901 962 1222 1258 1326 1378 1443 1598 1739 1802 1833 1887 1961 2067 2397 2491 2703 2886 3478 3666 3774 3922 4134 4794 4982 5217 5406 5883 7473 8177 10387 10434 11713 11766 14946 16354 20774 22607 23426 24531 25493 29563 31161 32383 33337 35139 42347 45214 49062 50986 59126 62322 64766 66674 67821 70278 76479 84694 88689 92167 97149 100011 127041 135642 152958 177378 184334 194298 200022 254082 276501 384319 433381 550511 553002 768638 866762 1101022 1152957 1198171 1300143 1566839 1651533 2305914 2396342 2600286 3133678 3303066 3594513 4700517 7189026 9401034 20368907 40737814 61106721 122213442