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69122196 = 2232111329463
BaseRepresentation
bin1000001111010…
…11100010010100
311211001202211100
410013223202110
5120143402241
610505310100
71466346303
oct407534224
9154052740
1069122196
1136021590
121b195330
1311422110
14927443a
1561059b6
hex41eb894

69122196 has 144 divisors (see below), whose sum is σ = 212808960. Its totient is φ = 18627840.

The previous prime is 69122191. The next prime is 69122197.

69122196 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 69122196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69122191) 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, 149061 + ... + 149523.

It is an arithmetic number, because the mean of its divisors is an integer number (1477840).

Almost surely, 269122196 is an apocalyptic number.

69122196 is a gapful number since it is divisible by the number (66) 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 69122196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106404480).

69122196 is an abundant number, since it is smaller than the sum of its proper divisors (143686764).

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

69122196 is a wasteful number, since it uses less digits than its factorization.

69122196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 521 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 69122196 is about 8313.9759441557. The cubic root of 69122196 is about 410.3985733452.

It can be divided in two parts, 69 and 122196, that added together give a triangular number (122265 = T494).

The spelling of 69122196 in words is "sixty-nine million, one hundred twenty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 29 33 36 39 44 52 58 66 78 87 99 116 117 132 143 156 174 198 234 261 286 319 348 377 396 429 463 468 522 572 638 754 858 926 957 1044 1131 1276 1287 1389 1508 1716 1852 1914 2262 2574 2778 2871 3393 3828 4147 4167 4524 5093 5148 5556 5742 6019 6786 8294 8334 10186 11484 12038 12441 13427 13572 15279 16588 16668 18057 20372 24076 24882 26854 30558 36114 37323 40281 45837 49764 53708 54171 61116 66209 72228 74646 80562 91674 108342 120843 132418 147697 149292 161124 174551 183348 198627 216684 241686 264836 295394 349102 397254 443091 483372 523653 590788 595881 698204 794508 886182 1047306 1191762 1329273 1570959 1772364 1920061 2094612 2383524 2658546 3141918 3840122 5317092 5760183 6283836 7680244 11520366 17280549 23040732 34561098 69122196