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122335668 = 2232713107349
BaseRepresentation
bin1110100101010…
…11000110110100
322112012021222200
413102223012310
5222304220133
620050024500
73013556520
oct722530664
9275167880
10122335668
1163067664
1234b78130
131c464090
1412366d80
15ab17913
hex74ab1b4

122335668 has 144 divisors (see below), whose sum is σ = 385257600. Its totient is φ = 31871232.

The previous prime is 122335667. The next prime is 122335669. The reversal of 122335668 is 866533221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122335667) and next prime (122335669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122335667) 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, 350358 + ... + 350706.

It is an arithmetic number, because the mean of its divisors is an integer number (2675400).

Almost surely, 2122335668 is an apocalyptic number.

122335668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122335668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

122335668 is an abundant number, since it is smaller than the sum of its proper divisors (262921932).

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

122335668 is a wasteful number, since it uses less digits than its factorization.

122335668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 481 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 122335668 is about 11060.5455561649. The cubic root of 122335668 is about 496.4220144458.

Adding to 122335668 its reverse (866533221), we get a palindrome (988868889).

It can be divided in two parts, 122 and 335668, that added together give a triangular number (335790 = T819).

The spelling of 122335668 in words is "one hundred twenty-two million, three hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 107 117 126 156 182 214 234 252 273 321 349 364 428 468 546 642 698 749 819 963 1047 1092 1284 1391 1396 1498 1638 1926 2094 2247 2443 2782 2996 3141 3276 3852 4173 4188 4494 4537 4886 5564 6282 6741 7329 8346 8988 9074 9737 9772 12519 12564 13482 13611 14658 16692 18148 19474 21987 25038 26964 27222 29211 29316 31759 37343 38948 40833 43974 50076 54444 58422 63518 74686 81666 87633 87948 95277 112029 116844 127036 149372 163332 175266 190554 224058 261401 285831 336087 350532 381108 448116 485459 522802 571662 672174 784203 970918 1045604 1143324 1344348 1456377 1568406 1941836 2352609 2912754 3136812 3398213 4369131 4705218 5825508 6796426 8738262 9410436 10194639 13592852 17476524 20389278 30583917 40778556 61167834 122335668