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113666322 = 237111923563
BaseRepresentation
bin1101100011001…
…10100100010010
321220212211212210
412301212210102
5213044310242
615140132550
72550101460
oct661464422
9256784783
10113666322
1159186210
1232097156
131a71a0a3
141114b830
159ea3d9c
hex6c66912

113666322 has 128 divisors (see below), whose sum is σ = 311869440. Its totient is φ = 26706240.

The previous prime is 113666281. The next prime is 113666323. The reversal of 113666322 is 223666311.

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 113666322.

It is not an unprimeable number, because it can be changed into a prime (113666323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201613 + ... + 202175.

It is an arithmetic number, because the mean of its divisors is an integer number (2436480).

Almost surely, 2113666322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113666322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155934720).

113666322 is an abundant number, since it is smaller than the sum of its proper divisors (198203118).

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

113666322 is a wasteful number, since it uses less digits than its factorization.

113666322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628.

The product of its digits is 7776, while the sum is 30.

The square root of 113666322 is about 10661.4408969895. The cubic root of 113666322 is about 484.4072142682.

It can be divided in two parts, 113 and 666322, that added together give a triangular number (666435 = T1154).

The spelling of 113666322 in words is "one hundred thirteen million, six hundred sixty-six thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 23 33 38 42 46 57 66 69 77 114 133 138 154 161 209 231 253 266 322 399 418 437 462 483 506 563 627 759 798 874 966 1126 1254 1311 1463 1518 1689 1771 2622 2926 3059 3378 3542 3941 4389 4807 5313 6118 6193 7882 8778 9177 9614 10626 10697 11823 12386 12949 14421 18354 18579 21394 23646 25898 28842 32091 33649 37158 38847 43351 64182 67298 74879 77694 86702 90643 100947 117667 130053 142439 149758 181286 201894 224637 235334 246031 260106 271929 284878 353001 427317 449274 492062 543858 706002 738093 823669 854634 997073 1476186 1647338 1722217 1994146 2471007 2706341 2991219 3444434 4942014 5166651 5412682 5982438 8119023 10333302 16238046 18944387 37888774 56833161 113666322