Search a number
-
+
113722818 = 23112312163
BaseRepresentation
bin1101100011101…
…00010111000010
321220222201101020
412301310113002
5213103112233
615141250310
72550425256
oct661642702
9256881336
10113722818
1159214700
1232103996
131a739a11
1411164266
159eb59b3
hex6c745c2

113722818 has 72 divisors (see below), whose sum is σ = 259911792. Its totient is φ = 33145200.

The previous prime is 113722801. The next prime is 113722823. The reversal of 113722818 is 818227311.

It is a super-2 number, since 2×1137228182 = 25865758667722248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 697605 + ... + 697767.

It is an arithmetic number, because the mean of its divisors is an integer number (3609886).

Almost surely, 2113722818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113722818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129955896).

113722818 is an abundant number, since it is smaller than the sum of its proper divisors (146188974).

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

113722818 is a wasteful number, since it uses less digits than its factorization.

113722818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 210 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 113722818 is about 10664.0901158983. The cubic root of 113722818 is about 484.4874565558.

The spelling of 113722818 in words is "one hundred thirteen million, seven hundred twenty-two thousand, eight hundred eighteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 163 186 242 326 341 363 489 682 726 961 978 1023 1793 1922 2046 2883 3586 3751 5053 5379 5766 7502 10106 10571 10758 11253 15159 19723 21142 22506 30318 31713 39446 55583 59169 63426 111166 116281 118338 156643 166749 232562 313286 333498 348843 469929 611413 697686 939858 1222826 1723073 1834239 3446146 3668478 5169219 10338438 18953803 37907606 56861409 113722818