Search a number
-
+
113522200 = 23521124691
BaseRepresentation
bin1101100010000…
…11011000011000
321220121112011221
412301003120120
5213030202300
615133101424
72545631341
oct661033030
9256545157
10113522200
1159097a00
1232027874
131a6995cc
14111110c8
159e7631a
hex6c43618

113522200 has 72 divisors (see below), whose sum is σ = 290176740. Its totient is φ = 41272000.

The previous prime is 113522197. The next prime is 113522203. The reversal of 113522200 is 2225311.

It is an interprime number because it is at equal distance from previous prime (113522197) and next prime (113522203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113522203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21855 + ... + 26545.

Almost surely, 2113522200 is an apocalyptic number.

113522200 is a gapful number since it is divisible by the number (10) 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 113522200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145088370).

113522200 is an abundant number, since it is smaller than the sum of its proper divisors (176654540).

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

113522200 is a wasteful number, since it uses less digits than its factorization.

113522200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 113522200 is about 10654.6797230137. The cubic root of 113522200 is about 484.2023946915.

Adding to 113522200 its reverse (2225311), we get a palindrome (115747511).

The spelling of 113522200 in words is "one hundred thirteen million, five hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4691 4840 6050 9382 12100 18764 23455 24200 37528 46910 51601 93820 103202 117275 187640 206404 234550 258005 412808 469100 516010 567611 938200 1032020 1135222 1290025 2064040 2270444 2580050 2838055 4540888 5160100 5676110 10320200 11352220 14190275 22704440 28380550 56761100 113522200