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122316642 = 2347219811
BaseRepresentation
bin1110100101001…
…10011101100010
322112011022220000
413102212131202
5222303113032
620045400430
73013450200
oct722463542
9275138800
10122316642
1163054338
1234b69116
131c458516
1412360070
15ab11e7c
hex74a6762

122316642 has 120 divisors (see below), whose sum is σ = 336021840. Its totient is φ = 33067440.

The previous prime is 122316641. The next prime is 122316647. The reversal of 122316642 is 246613221.

122316642 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 16 + 642 = 666.

It is a super-2 number, since 2×1223166422 = 29922721820312328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122316641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 150417 + ... + 151227.

It is an arithmetic number, because the mean of its divisors is an integer number (2800182).

Almost surely, 2122316642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122316642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168010920).

122316642 is an abundant number, since it is smaller than the sum of its proper divisors (213705198).

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

122316642 is a wasteful number, since it uses less digits than its factorization.

122316642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 842 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 122316642 is about 11059.6854385647. The cubic root of 122316642 is about 496.3962781116.

Adding to 122316642 its reverse (246613221), we get a palindrome (368929863).

The spelling of 122316642 in words is "one hundred twenty-two million, three hundred sixteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 81 98 114 126 133 147 162 171 189 266 294 342 378 399 441 513 567 798 811 882 931 1026 1134 1197 1323 1539 1622 1862 2394 2433 2646 2793 3078 3591 3969 4866 5586 5677 7182 7299 7938 8379 10773 11354 14598 15409 16758 17031 21546 21897 25137 30818 34062 39739 43794 46227 50274 51093 65691 75411 79478 92454 102186 107863 119217 131382 138681 150822 153279 215726 238434 277362 306558 323589 357651 416043 459837 647178 715302 755041 832086 919674 970767 1072953 1248129 1510082 1941534 2145906 2265123 2496258 2912301 3218859 4530246 5824602 6437718 6795369 8736903 13590738 17473806 20386107 40772214 61158321 122316642